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115414432 = 25729109163
BaseRepresentation
bin1101110000100…
…01010110100000
322001011122211121
412320101112200
5214021230212
615241422024
72601002140
oct670212640
9261148747
10115414432
115a16a631
123279a914
131abac983
1411484920
15a1ebd07
hex6e115a0

115414432 has 96 divisors (see below), whose sum is σ = 272764800. Its totient is φ = 47029248.

The previous prime is 115414427. The next prime is 115414447. The reversal of 115414432 is 234414511.

It is a super-2 number, since 2×1154144322 = 26640982227765248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115414397 and 115414406.

It is an unprimeable number.

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, 707983 + ... + 708145.

It is an arithmetic number, because the mean of its divisors is an integer number (2841300).

Almost surely, 2115414432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136382400).

115414432 is an abundant number, since it is smaller than the sum of its proper divisors (157350368).

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

115414432 is a wasteful number, since it uses less digits than its factorization.

115414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 115414432 is about 10743.1109088569. The cubic root of 115414432 is about 486.8778750057.

Adding to 115414432 its reverse (234414511), we get a palindrome (349828943).

The spelling of 115414432 in words is "one hundred fifteen million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 109 112 116 163 203 218 224 232 326 406 436 464 652 763 812 872 928 1141 1304 1526 1624 1744 2282 2608 3052 3161 3248 3488 4564 4727 5216 6104 6322 6496 9128 9454 12208 12644 17767 18256 18908 22127 24416 25288 33089 35534 36512 37816 44254 50576 66178 71068 75632 88508 101152 124369 132356 142136 151264 177016 248738 264712 284272 354032 497476 515243 529424 568544 708064 994952 1030486 1058848 1989904 2060972 3606701 3979808 4121944 7213402 8243888 14426804 16487776 28853608 57707216 115414432