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115620864 = 210361617
BaseRepresentation
bin1101110010000…
…11110000000000
322001120011000020
412321003300000
5214044331424
615250053440
72602522032
oct671036000
9261504006
10115620864
115a2a0737
123287a280
131ac52918
14114d9c52
15a23d079
hex6e43c00

115620864 has 88 divisors (see below), whose sum is σ = 313731408. Its totient is φ = 37847040.

The previous prime is 115620863. The next prime is 115620881. The reversal of 115620864 is 468026511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115620863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187084 + ... + 187700.

Almost surely, 2115620864 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 115620864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156865704).

115620864 is an abundant number, since it is smaller than the sum of its proper divisors (198110544).

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

115620864 is an equidigital number, since it uses as much as digits as its factorization.

115620864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 115620864 is about 10752.7142619899. The cubic root of 115620864 is about 487.1679811572.

The spelling of 115620864 in words is "one hundred fifteen million, six hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 617 732 768 976 1024 1234 1464 1536 1851 1952 2468 2928 3072 3702 3904 4936 5856 7404 7808 9872 11712 14808 15616 19744 23424 29616 31232 37637 39488 46848 59232 62464 75274 78976 93696 112911 118464 150548 157952 187392 225822 236928 301096 315904 451644 473856 602192 631808 903288 947712 1204384 1806576 1895424 2408768 3613152 4817536 7226304 9635072 14452608 19270144 28905216 38540288 57810432 115620864