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115156032 = 2632389293
BaseRepresentation
bin1101101110100…
…10010001000000
322000200112101020
412313102101000
5213434443112
615232105440
72565544605
oct667222100
9260615336
10115156032
115a003482
1232695280
131ab1c184
14114186ac
15a19a48c
hex6dd2440

115156032 has 112 divisors (see below), whose sum is σ = 322600320. Its totient is φ = 36179968.

The previous prime is 115155973. The next prime is 115156033. The reversal of 115156032 is 230651511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 115155993 and 115156011.

It is not an unprimeable number, because it can be changed into a prime (115156033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392878 + ... + 393170.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 2115156032 is an apocalyptic number.

115156032 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 115156032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161300160).

115156032 is an abundant number, since it is smaller than the sum of its proper divisors (207444288).

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

115156032 is a wasteful number, since it uses less digits than its factorization.

115156032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 115156032 is about 10731.0778582582. The cubic root of 115156032 is about 486.5142484684.

The spelling of 115156032 in words is "one hundred fifteen million, one hundred fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 89 92 96 138 178 184 192 267 276 293 356 368 534 552 586 712 736 879 1068 1104 1172 1424 1472 1758 2047 2136 2208 2344 2848 3516 4094 4272 4416 4688 5696 6141 6739 7032 8188 8544 9376 12282 13478 14064 16376 17088 18752 20217 24564 26077 26956 28128 32752 40434 49128 52154 53912 56256 65504 78231 80868 98256 104308 107824 131008 156462 161736 196512 208616 215648 312924 323472 393024 417232 431296 599771 625848 646944 834464 1199542 1251696 1293888 1668928 1799313 2399084 2503392 3598626 4798168 5006784 7197252 9596336 14394504 19192672 28789008 38385344 57578016 115156032