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115869312 = 2733132579
BaseRepresentation
bin1101110100000…
…00011010000000
322002000202211000
412322000122000
5214130304222
615255252000
72604605256
oct672003200
9262022730
10115869312
115a450369
123297a000
131b00ba30
14115625d6
15a28b9ac
hex6e80680

115869312 has 128 divisors (see below), whose sum is σ = 368424000. Its totient is φ = 35638272.

The previous prime is 115869307. The next prime is 115869319. The reversal of 115869312 is 213968511.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (115869319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43639 + ... + 46217.

Almost surely, 2115869312 is an apocalyptic number.

115869312 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 115869312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184212000).

115869312 is an abundant number, since it is smaller than the sum of its proper divisors (252554688).

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

115869312 is a wasteful number, since it uses less digits than its factorization.

115869312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2597 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 115869312 is about 10764.2608664042. The cubic root of 115869312 is about 487.5166763526.

The spelling of 115869312 in words is "one hundred fifteen million, eight hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2579 2808 3456 3744 4992 5158 5616 7488 7737 10316 11232 14976 15474 20632 22464 23211 30948 33527 41264 44928 46422 61896 67054 69633 82528 92844 100581 123792 134108 139266 165056 185688 201162 247584 268216 278532 301743 330112 371376 402324 495168 536432 557064 603486 742752 804648 905229 990336 1072864 1114128 1206972 1485504 1609296 1810458 2145728 2228256 2413944 2971008 3218592 3620916 4291456 4456512 4827888 6437184 7241832 8913024 9655776 12874368 14483664 19311552 28967328 38623104 57934656 115869312