Search a number
-
+
1070268552 = 23343153279
BaseRepresentation
bin111111110010110…
…000000010001000
32202120220021110000
4333302300002020
54142442043202
6254111323000
735344063323
oct7762600210
92676807400
101070268552
114aa158671
1225a520460
13140971002
14a21dd7ba
1563e6191c
hex3fcb0088

1070268552 has 80 divisors (see below), whose sum is σ = 3094502400. Its totient is φ = 345241440.

The previous prime is 1070268547. The next prime is 1070268587. The reversal of 1070268552 is 2558620701.

It is a happy number.

1070268552 is a `hidden beast` number, since 10 + 70 + 26 + 8 + 552 = 666.

It is a super-2 number, since 2×10702685522 = 2290949546800353408, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6552 + ... + 46727.

It is an arithmetic number, because the mean of its divisors is an integer number (38681280).

Almost surely, 21070268552 is an apocalyptic number.

1070268552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070268552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547251200).

1070268552 is an abundant number, since it is smaller than the sum of its proper divisors (2024233848).

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

1070268552 is a wasteful number, since it uses less digits than its factorization.

1070268552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53328 (or 53315 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1070268552 is about 32714.9591471547. The cubic root of 1070268552 is about 1022.8946839063.

The spelling of 1070268552 in words is "one billion, seventy million, two hundred sixty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 2232 2511 3348 5022 6696 10044 20088 53279 106558 159837 213116 319674 426232 479511 639348 959022 1278696 1438533 1651649 1918044 2877066 3303298 3836088 4315599 4954947 5754132 6606596 8631198 9909894 11508264 13213192 14864841 17262396 19819788 29729682 34524792 39639576 44594523 59459364 89189046 118918728 133783569 178378092 267567138 356756184 535134276 1070268552