Search a number
-
+
1870115328 = 29321723873
BaseRepresentation
bin110111101110111…
…1011001000000000
311211022221200221200
41233131323020000
512312222142303
6505323021200
764225501164
oct15735731000
94738850850
101870115328
1187a6a4364
1244236a800
1323a59c223
1413a528ca4
15ae2a83a3
hex6f77b200

1870115328 has 120 divisors (see below), whose sum is σ = 5715005868. Its totient is φ = 586678272.

The previous prime is 1870115321. The next prime is 1870115333. The reversal of 1870115328 is 8235110781.

It can be written as a sum of positive squares in 2 ways, for example, as 1862095104 + 8020224 = 43152^2 + 2832^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1870115292 and 1870115301.

It is not an unprimeable number, because it can be changed into a prime (1870115321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66400 + ... + 90272.

Almost surely, 21870115328 is an apocalyptic number.

1870115328 is a gapful number since it is divisible by the number (18) 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 1870115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857502934).

1870115328 is an abundant number, since it is smaller than the sum of its proper divisors (3844890540).

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

1870115328 is a wasteful number, since it uses less digits than its factorization.

1870115328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23914 (or 23895 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1870115328 is about 43244.8300725069. The cubic root of 1870115328 is about 1232.0342937550.

The spelling of 1870115328 in words is "one billion, eight hundred seventy million, one hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1536 1632 2176 2304 2448 3264 4352 4608 4896 6528 8704 9792 13056 19584 23873 26112 39168 47746 71619 78336 95492 143238 190984 214857 286476 381968 405841 429714 572952 763936 811682 859428 1145904 1217523 1527872 1623364 1718856 2291808 2435046 3055744 3246728 3437712 3652569 4583616 4870092 6111488 6493456 6875424 7305138 9167232 9740184 12222976 12986912 13750848 14610276 18334464 19480368 25973824 27501696 29220552 36668928 38960736 51947648 55003392 58441104 77921472 103895296 110006784 116882208 155842944 207790592 233764416 311685888 467528832 623371776 935057664 1870115328