Search a number
-
+
1070860176 = 24381012
BaseRepresentation
bin111111110101000…
…000011110010000
32202122000100000000
4333311000132100
54143120011201
6254132130000
735352106221
oct7765003620
92678010000
101070860176
114aa522111
1225a766900
13140b1a399
14a2315248
156402bd86
hex3fd40790

1070860176 has 135 divisors (see below), whose sum is σ = 3143146513. Its totient is φ = 353419200.

The previous prime is 1070860171. The next prime is 1070860213. The reversal of 1070860176 is 6710680701.

It is a happy number.

The square root of 1070860176 is 32724.

It is a perfect power (a square), and thus also a powerful number.

1070860176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1028869776 + 41990400 = 32076^2 + 6480^2 .

It is a super-2 number, since 2×10708601762 = 2293483033085501952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1070860176.

It is not an unprimeable number, because it can be changed into a prime (1070860171) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10602526 + ... + 10602626.

Almost surely, 21070860176 is an apocalyptic number.

1070860176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1070860176 is the 32724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070860176

1070860176 is an abundant number, since it is smaller than the sum of its proper divisors (2072286337).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1070860176 is an frugal number, since it uses more digits than its factorization.

1070860176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The cubic root of 1070860176 is about 1023.0831280649.

Multiplying 1070860176 by its sum of digits (36), we get a square (38550966336 = 1963442).

1070860176 divided by its sum of digits (36) gives a square (29746116 = 54542).

The spelling of 1070860176 in words is "one billion, seventy million, eight hundred sixty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 101 108 144 162 202 216 243 303 324 404 432 486 606 648 729 808 909 972 1212 1296 1458 1616 1818 1944 2187 2424 2727 2916 3636 3888 4374 4848 5454 5832 6561 7272 8181 8748 10201 10908 11664 13122 14544 16362 17496 20402 21816 24543 26244 30603 32724 34992 40804 43632 49086 52488 61206 65448 73629 81608 91809 98172 104976 122412 130896 147258 163216 183618 196344 220887 244824 275427 294516 367236 392688 441774 489648 550854 589032 662661 734472 826281 883548 1101708 1178064 1325322 1468944 1652562 1767096 2203416 2478843 2650644 3305124 3534192 4406832 4957686 5301288 6610248 7436529 9915372 10602576 13220496 14873058 19830744 22309587 29746116 39661488 44619174 59492232 66928761 89238348 118984464 133857522 178476696 267715044 356953392 535430088 1070860176