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114064256 = 27941947
BaseRepresentation
bin1101100110001…
…11101110000000
321221122001202002
412303013232000
5213200024011
615152443132
72553346565
oct663075600
9257561662
10114064256
1159428189
12322494a8
131a829257
141121286c
15a031c3b
hex6cc7b80

114064256 has 32 divisors (see below), whose sum is σ = 227719080. Its totient is φ = 56911360.

The previous prime is 114064243. The next prime is 114064259. The reversal of 114064256 is 652460411.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114064259) 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 3 ways as a sum of consecutive naturals, for example, 119975 + ... + 120921.

Almost surely, 2114064256 is an apocalyptic number.

114064256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114064256 is a deficient number, since it is larger than the sum of its proper divisors (113654824).

114064256 is an frugal number, since it uses more digits than its factorization.

114064256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 114064256 is about 10680.0868910323. The cubic root of 114064256 is about 484.9718423445.

The spelling of 114064256 in words is "one hundred fourteen million, sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 941 947 1882 1894 3764 3788 7528 7576 15056 15152 30112 30304 60224 60608 120448 121216 891127 1782254 3564508 7129016 14258032 28516064 57032128 114064256