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115639056 = 24331359349
BaseRepresentation
bin1101110010010…
…00001100010000
322001121001222000
412321020030100
5214100422211
615250314000
72602626051
oct671101420
9261531860
10115639056
115a303375
1232888900
131ac5aca0
1411502728
15a243656
hex6e48310

115639056 has 160 divisors (see below), whose sum is σ = 364560000. Its totient is φ = 34877952.

The previous prime is 115639033. The next prime is 115639061. The reversal of 115639056 is 650936511.

115639056 is a `hidden beast` number, since 1 + 1 + 563 + 90 + 5 + 6 = 666.

It is a super-2 number, since 2×1156390562 = 26744782545142272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 115639056.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331170 + ... + 331518.

It is an arithmetic number, because the mean of its divisors is an integer number (2278500).

Almost surely, 2115639056 is an apocalyptic number.

115639056 is a gapful number since it is divisible by the number (16) 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 115639056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182280000).

115639056 is an abundant number, since it is smaller than the sum of its proper divisors (248920944).

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

115639056 is a wasteful number, since it uses less digits than its factorization.

115639056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 115639056 is about 10753.5601546651. The cubic root of 115639056 is about 487.1935304535.

The spelling of 115639056 in words is "one hundred fifteen million, six hundred thirty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 59 72 78 104 108 117 118 144 156 177 208 216 234 236 312 349 351 354 432 468 472 531 624 698 702 708 767 936 944 1047 1062 1396 1404 1416 1534 1593 1872 2094 2124 2301 2792 2808 2832 3068 3141 3186 4188 4248 4537 4602 5584 5616 6136 6282 6372 6903 8376 8496 9074 9204 9423 12272 12564 12744 13611 13806 16752 18148 18408 18846 20591 20709 25128 25488 27222 27612 36296 36816 37692 40833 41182 41418 50256 54444 55224 61773 72592 75384 81666 82364 82836 108888 110448 122499 123546 150768 163332 164728 165672 185319 217776 244998 247092 267683 326664 329456 331344 370638 489996 494184 535366 555957 653328 741276 803049 979992 988368 1070732 1111914 1482552 1606098 1959984 2141464 2223828 2409147 2965104 3212196 4282928 4447656 4818294 6424392 7227441 8895312 9636588 12848784 14454882 19273176 28909764 38546352 57819528 115639056