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115624938 = 231121312251
BaseRepresentation
bin1101110010001…
…00101111101010
322001120100121010
412321010233222
5214044444223
615250124350
72602536642
oct671045752
9261510533
10115624938
115a2a3800
12328806b6
131ac54730
14114db522
15a23e393
hex6e44bea

115624938 has 48 divisors (see below), whose sum is σ = 273758688. Its totient is φ = 32340000.

The previous prime is 115624921. The next prime is 115624967. The reversal of 115624938 is 839426511.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 115624896 and 115624905.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3313 + ... + 15563.

It is an arithmetic number, because the mean of its divisors is an integer number (5703306).

Almost surely, 2115624938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115624938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136879344).

115624938 is an abundant number, since it is smaller than the sum of its proper divisors (158133750).

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

115624938 is a wasteful number, since it uses less digits than its factorization.

115624938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12291 (or 12280 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 115624938 is about 10752.9037008615. The cubic root of 115624938 is about 487.1737030168.

The spelling of 115624938 in words is "one hundred fifteen million, six hundred twenty-four thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1573 3146 4719 9438 12251 24502 36753 73506 134761 159263 269522 318526 404283 477789 808566 955578 1482371 1751893 2964742 3503786 4447113 5255679 8894226 10511358 19270823 38541646 57812469 115624938