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115087840 = 2557211487
BaseRepresentation
bin1101101110000…
…01100111100000
322000120001211121
412313001213200
5213430302330
615230422024
72565142030
oct667014740
9260501747
10115087840
1159a6721a
1232661914
131aac711a
14113db8c0
15a18517a
hex6dc19e0

115087840 has 96 divisors (see below), whose sum is σ = 312850944. Its totient is φ = 39191040.

The previous prime is 115087829. The next prime is 115087849. The reversal of 115087840 is 48780511.

It is a junction number, because it is equal to n+sod(n) for n = 115087796 and 115087805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115087849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236077 + ... + 236563.

It is an arithmetic number, because the mean of its divisors is an integer number (3258864).

Almost surely, 2115087840 is an apocalyptic number.

115087840 is a gapful number since it is divisible by the number (10) 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 115087840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156425472).

115087840 is an abundant number, since it is smaller than the sum of its proper divisors (197763104).

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

115087840 is a wasteful number, since it uses less digits than its factorization.

115087840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 115087840 is about 10727.9000741058. The cubic root of 115087840 is about 486.4181963847.

The spelling of 115087840 in words is "one hundred fifteen million, eighty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 211 224 280 422 487 560 844 974 1055 1120 1477 1688 1948 2110 2435 2954 3376 3409 3896 4220 4870 5908 6752 6818 7385 7792 8440 9740 11816 13636 14770 15584 16880 17045 19480 23632 27272 29540 33760 34090 38960 47264 54544 59080 68180 77920 102757 109088 118160 136360 205514 236320 272720 411028 513785 545440 719299 822056 1027570 1438598 1644112 2055140 2877196 3288224 3596495 4110280 5754392 7192990 8220560 11508784 14385980 16441120 23017568 28771960 57543920 115087840