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115313088 = 2631171769
BaseRepresentation
bin1101101111110…
…00100111000000
322000222111211010
412313320213000
5214010004323
615235320520
72600100522
oct667704700
9260874733
10115313088
115a100480
1232750140
131ab757c7
1411459a12
15a1cbc93
hex6df89c0

115313088 has 112 divisors (see below), whose sum is σ = 337962240. Its totient is φ = 34406400.

The previous prime is 115313083. The next prime is 115313089. The reversal of 115313088 is 880313511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115313083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149568 + ... + 150336.

It is an arithmetic number, because the mean of its divisors is an integer number (3017520).

Almost surely, 2115313088 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 115313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168981120).

115313088 is an abundant number, since it is smaller than the sum of its proper divisors (222649152).

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

115313088 is a wasteful number, since it uses less digits than its factorization.

115313088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 115313088 is about 10738.3931758900. The cubic root of 115313088 is about 486.7353261067.

Adding to 115313088 its reverse (880313511), we get a palindrome (995626599).

It can be divided in two parts, 1153 and 13088, that added together give a palindrome (14241).

The spelling of 115313088 in words is "one hundred fifteen million, three hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 132 142 176 192 213 264 284 352 426 528 568 704 769 781 852 1056 1136 1538 1562 1704 2112 2272 2307 2343 3076 3124 3408 4544 4614 4686 6152 6248 6816 8459 9228 9372 12304 12496 13632 16918 18456 18744 24608 24992 25377 33836 36912 37488 49216 49984 50754 54599 67672 73824 74976 101508 109198 135344 147648 149952 163797 203016 218396 270688 327594 406032 436792 541376 600589 655188 812064 873584 1201178 1310376 1624128 1747168 1801767 2402356 2620752 3494336 3603534 4804712 5241504 7207068 9609424 10483008 14414136 19218848 28828272 38437696 57656544 115313088