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113490256 = 2411231261
BaseRepresentation
bin1101100001110…
…11100101010000
321220112220100211
412300323211100
5213023142011
615132253504
72545436245
oct660734520
9256486324
10113490256
1159075a00
1232011294
131a687bc9
14111035cc
159e6bb21
hex6c3b950

113490256 has 90 divisors (see below), whose sum is σ = 253836618. Its totient is φ = 49104000.

The previous prime is 113490229. The next prime is 113490259. The reversal of 113490256 is 652094311.

It can be written as a sum of positive squares in only one way, i.e., 66977856 + 46512400 = 8184^2 + 6820^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113490259) 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 17 ways as a sum of consecutive naturals, for example, 1860466 + ... + 1860526.

Almost surely, 2113490256 is an apocalyptic number.

113490256 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 113490256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126918309).

113490256 is an abundant number, since it is smaller than the sum of its proper divisors (140346362).

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

113490256 is a wasteful number, since it uses less digits than its factorization.

113490256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 113490256 is about 10653.1805579367. The cubic root of 113490256 is about 484.1569738771.

The spelling of 113490256 in words is "one hundred thirteen million, four hundred ninety thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 31 44 61 62 88 121 122 124 176 242 244 248 341 484 488 496 671 682 961 968 976 1342 1364 1891 1922 1936 2684 2728 3751 3782 3844 5368 5456 7381 7502 7564 7688 10571 10736 14762 15004 15128 15376 20801 21142 29524 30008 30256 41602 42284 58621 59048 60016 83204 84568 116281 117242 118096 166408 169136 228811 232562 234484 332816 457622 465124 468968 644831 915244 930248 937936 1289662 1830488 1860496 2579324 3660976 5158648 7093141 10317296 14186282 28372564 56745128 113490256