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114256896 = 2103132861
BaseRepresentation
bin1101100111101…
…10110000000000
321221222211222220
412303312300000
5213222210041
615200531040
72555111325
oct663666000
9257884886
10114256896
1159549996
1232320a80
131a895b40
1411262b4c
15a06dd66
hex6cf6c00

114256896 has 88 divisors (see below), whose sum is σ = 328076784. Its totient is φ = 35143680.

The previous prime is 114256871. The next prime is 114256903. The reversal of 114256896 is 698652411.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38506 + ... + 41366.

Almost surely, 2114256896 is an apocalyptic number.

114256896 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 114256896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164038392).

114256896 is an abundant number, since it is smaller than the sum of its proper divisors (213819888).

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

114256896 is a wasteful number, since it uses less digits than its factorization.

114256896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2879 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 114256896 is about 10689.1017396225. The cubic root of 114256896 is about 485.2447073476.

The spelling of 114256896 in words is "one hundred fourteen million, two hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 2861 3072 3328 4992 5722 6656 8583 9984 11444 13312 17166 19968 22888 34332 37193 39936 45776 68664 74386 91552 111579 137328 148772 183104 223158 274656 297544 366208 446316 549312 595088 732416 892632 1098624 1190176 1464832 1785264 2197248 2380352 2929664 3570528 4394496 4760704 7141056 8788992 9521408 14282112 19042816 28564224 38085632 57128448 114256896