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114053856 = 2537891907
BaseRepresentation
bin1101100110001…
…01001011100000
321221121112110220
412303011023200
5213144210411
615152323040
72553304350
oct663051340
9257545426
10114053856
1159420394
1232243480
131a8245b7
141120cb60
15a02db06
hex6cc52e0

114053856 has 96 divisors (see below), whose sum is σ = 346187520. Its totient is φ = 32203776.

The previous prime is 114053843. The next prime is 114053879. The reversal of 114053856 is 658350411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58855 + ... + 60761.

It is an arithmetic number, because the mean of its divisors is an integer number (3606120).

Almost surely, 2114053856 is an apocalyptic number.

114053856 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 114053856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173093760).

114053856 is an abundant number, since it is smaller than the sum of its proper divisors (232133664).

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

114053856 is a wasteful number, since it uses less digits than its factorization.

114053856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 114053856 is about 10679.5999925091. The cubic root of 114053856 is about 484.9571025225.

The spelling of 114053856 in words is "one hundred fourteen million, fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 89 96 112 168 178 224 267 336 356 534 623 672 712 1068 1246 1424 1869 1907 2136 2492 2848 3738 3814 4272 4984 5721 7476 7628 8544 9968 11442 13349 14952 15256 19936 22884 26698 29904 30512 40047 45768 53396 59808 61024 80094 91536 106792 160188 169723 183072 213584 320376 339446 427168 509169 640752 678892 1018338 1188061 1281504 1357784 2036676 2376122 2715568 3564183 4073352 4752244 5431136 7128366 8146704 9504488 14256732 16293408 19008976 28513464 38017952 57026928 114053856