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115014656 = 210176607
BaseRepresentation
bin1101101101011…
…11110000000000
322000102100110002
412312233300000
5213420432111
615225055132
72564415461
oct666576000
9260370402
10115014656
1159a17239
12326274a8
131aa9ca13
14113bcd68
15a16d63b
hex6dafc00

115014656 has 44 divisors (see below), whose sum is σ = 243478368. Its totient is φ = 54116352.

The previous prime is 115014643. The next prime is 115014701. The reversal of 115014656 is 656410511.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 14105 + ... + 20711.

Almost surely, 2115014656 is an apocalyptic number.

115014656 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 115014656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121739184).

115014656 is an abundant number, since it is smaller than the sum of its proper divisors (128463712).

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

115014656 is an equidigital number, since it uses as much as digits as its factorization.

115014656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6644 (or 6626 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 115014656 is about 10724.4886125167. The cubic root of 115014656 is about 486.3150705824.

The spelling of 115014656 in words is "one hundred fifteen million, fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2176 4352 6607 8704 13214 17408 26428 52856 105712 112319 211424 224638 422848 449276 845696 898552 1691392 1797104 3382784 3594208 6765568 7188416 14376832 28753664 57507328 115014656