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113196258 = 2337347863
BaseRepresentation
bin1101011111100…
…11110011100010
321212222222002000
412233303303202
5212434240013
615122104430
72543103150
oct657636342
9255888060
10113196258
115899502a
1231aab116
131a5b4146
14110683d0
159e0e973
hex6bf3ce2

113196258 has 64 divisors (see below), whose sum is σ = 288645120. Its totient is φ = 32211216.

The previous prime is 113196247. The next prime is 113196269. The reversal of 113196258 is 852691311.

113196258 is a `hidden beast` number, since 1 + 13 + 19 + 625 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (113196247) and next prime (113196269).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130735 + ... + 131597.

It is an arithmetic number, because the mean of its divisors is an integer number (4510080).

Almost surely, 2113196258 is an apocalyptic number.

113196258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113196258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144322560).

113196258 is an abundant number, since it is smaller than the sum of its proper divisors (175448862).

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

113196258 is a wasteful number, since it uses less digits than its factorization.

113196258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1222 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 113196258 is about 10639.3730078421. The cubic root of 113196258 is about 483.7385406816.

The spelling of 113196258 in words is "one hundred thirteen million, one hundred ninety-six thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 347 378 694 863 1041 1726 2082 2429 2589 3123 4858 5178 6041 6246 7287 7767 9369 12082 14574 15534 18123 18738 21861 23301 36246 43722 46602 54369 65583 108738 131166 163107 299461 326214 598922 898383 1796766 2096227 2695149 4192454 5390298 6288681 8085447 12577362 16170894 18866043 37732086 56598129 113196258