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115000512 = 26311173203
BaseRepresentation
bin1101101101011…
…00010011000000
322000101122001020
412312230103000
5213420004022
615224505440
72564326314
oct666542300
9260348036
10115000512
1159a07650
123261b280
131aa96453
14113b7b44
15a16935c
hex6dac4c0

115000512 has 112 divisors (see below), whose sum is σ = 351568512. Its totient is φ = 32788480.

The previous prime is 115000511. The next prime is 115000517. The reversal of 115000512 is 215000511.

It is a junction number, because it is equal to n+sod(n) for n = 115000491 and 115000500.

It is not an unprimeable number, because it can be changed into a prime (115000511) 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, 34303 + ... + 37505.

Almost surely, 2115000512 is an apocalyptic number.

115000512 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 115000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175784256).

115000512 is an abundant number, since it is smaller than the sum of its proper divisors (236568000).

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

115000512 is a wasteful number, since it uses less digits than its factorization.

115000512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 115000512 is about 10723.8291668601. The cubic root of 115000512 is about 486.2951347975.

Subtracting 115000512 from its reverse (215000511), we obtain a palindrome (99999999).

The spelling of 115000512 in words is "one hundred fifteen million, five hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 132 136 176 187 192 204 264 272 352 374 408 528 544 561 704 748 816 1056 1088 1122 1496 1632 2112 2244 2992 3203 3264 4488 5984 6406 8976 9609 11968 12812 17952 19218 25624 35233 35904 38436 51248 54451 70466 76872 102496 105699 108902 140932 153744 163353 204992 211398 217804 281864 307488 326706 422796 435608 563728 598961 614976 653412 845592 871216 1127456 1197922 1306824 1691184 1742432 1796883 2254912 2395844 2613648 3382368 3484864 3593766 4791688 5227296 6764736 7187532 9583376 10454592 14375064 19166752 28750128 38333504 57500256 115000512