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115398864 = 24337311231
BaseRepresentation
bin1101110000011…
…01100011010000
322001010212111000
412320031203100
5214020230424
615241222000
72600605560
oct670154320
9261125430
10115398864
115a159969
1232791900
131aba5869
141147cda0
15a1e73c9
hex6e0d8d0

115398864 has 160 divisors (see below), whose sum is σ = 391086080. Its totient is φ = 31881600.

The previous prime is 115398853. The next prime is 115398869. The reversal of 115398864 is 468893511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115398869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93129 + ... + 94359.

It is an arithmetic number, because the mean of its divisors is an integer number (2444288).

Almost surely, 2115398864 is an apocalyptic number.

115398864 is a gapful number since it is divisible by the number (14) 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 115398864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195543040).

115398864 is an abundant number, since it is smaller than the sum of its proper divisors (275687216).

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

115398864 is a wasteful number, since it uses less digits than its factorization.

115398864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1274 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 115398864 is about 10742.3863270690. The cubic root of 115398864 is about 486.8559827246.

The spelling of 115398864 in words is "one hundred fifteen million, three hundred ninety-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 756 837 868 1008 1116 1231 1302 1488 1512 1674 1736 1953 2232 2462 2604 3024 3348 3472 3693 3906 4464 4924 5208 5859 6696 7386 7812 8617 9848 10416 11079 11718 13392 14772 15624 17234 19696 22158 23436 25851 29544 31248 33237 34468 38161 44316 46872 51702 59088 66474 68936 76322 77553 88632 93744 103404 114483 132948 137872 152644 155106 177264 206808 228966 232659 265896 267127 305288 310212 343449 413616 457932 465318 531792 534254 610576 620424 686898 801381 915864 930636 1030347 1068508 1240848 1373796 1602762 1831728 1861272 2060694 2137016 2404143 2747592 3205524 3722544 4121388 4274032 4808286 5495184 6411048 7212429 8242776 9616572 12822096 14424858 16485552 19233144 28849716 38466288 57699432 115398864