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115431552 = 2732971033
BaseRepresentation
bin1101110000101…
…01100010000000
322001012112022200
412320111202000
5214022302202
615242033200
72601103065
oct670254200
9261175280
10115431552
115a181485
12327a8800
131abb76c2
141148ac6c
15a201e1c
hex6e15880

115431552 has 96 divisors (see below), whose sum is σ = 335915580. Its totient is φ = 38043648.

The previous prime is 115431541. The next prime is 115431557. The reversal of 115431552 is 255134511.

It can be written as a sum of positive squares in 2 ways, for example, as 106998336 + 8433216 = 10344^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (115431557) 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, 111228 + ... + 112260.

Almost surely, 2115431552 is an apocalyptic number.

115431552 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 115431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167957790).

115431552 is an abundant number, since it is smaller than the sum of its proper divisors (220484028).

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

115431552 is a wasteful number, since it uses less digits than its factorization.

115431552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1135 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 115431552 is about 10743.9076690001. The cubic root of 115431552 is about 486.9019474924.

The spelling of 115431552 in words is "one hundred fifteen million, four hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 288 291 384 388 576 582 776 873 1033 1152 1164 1552 1746 2066 2328 3099 3104 3492 4132 4656 6198 6208 6984 8264 9297 9312 12396 12416 13968 16528 18594 18624 24792 27936 33056 37188 37248 49584 55872 66112 74376 99168 100201 111744 132224 148752 198336 200402 297504 300603 396672 400804 595008 601206 801608 901809 1190016 1202412 1603216 1803618 2404824 3206432 3607236 4809648 6412864 7214472 9619296 12825728 14428944 19238592 28857888 38477184 57715776 115431552