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114515136 = 2632198811
BaseRepresentation
bin1101101001101…
…01110011000000
321222110222020100
412310311303000
5213303441021
615210242400
72560235241
oct664656300
9258428210
10114515136
1159705a0a
1232426400
131a956548
14112cccc8
15a0c0626
hex6d35cc0

114515136 has 42 divisors (see below), whose sum is σ = 328238612. Its totient is φ = 38171520.

The previous prime is 114515131. The next prime is 114515189. The reversal of 114515136 is 631515411.

114515136 is a `hidden beast` number, since 1 + 14 + 515 + 136 = 666.

It is a super-2 number, since 2×1145151362 = 26227432746196992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114515131) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 98830 + ... + 99981.

Almost surely, 2114515136 is an apocalyptic number.

114515136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114515136 is an abundant number, since it is smaller than the sum of its proper divisors (213723476).

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

114515136 is a wasteful number, since it uses less digits than its factorization.

114515136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198829 (or 198816 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 114515136 is about 10701.1745149773. The cubic root of 114515136 is about 485.6100107676.

The spelling of 114515136 in words is "one hundred fourteen million, five hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 198811 397622 596433 795244 1192866 1590488 1789299 2385732 3180976 3578598 4771464 6361952 7157196 9542928 12723904 14314392 19085856 28628784 38171712 57257568 114515136