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113181952 = 281371479
BaseRepresentation
bin1101011111100…
…00010100000000
321212222020110011
412233300110000
5212433310302
615121514304
72543013352
oct657602400
9255866404
10113181952
1158985304
1231aa2994
131a5aa790
14110630d2
159e0a5d7
hex6bf0500

113181952 has 72 divisors (see below), whose sum is σ = 247242240. Its totient is φ = 51394560.

The previous prime is 113181947. The next prime is 113181967. The reversal of 113181952 is 259181311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236049 + ... + 236527.

It is an arithmetic number, because the mean of its divisors is an integer number (3433920).

Almost surely, 2113181952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113181952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621120).

113181952 is an abundant number, since it is smaller than the sum of its proper divisors (134060288).

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

113181952 is an equidigital number, since it uses as much as digits as its factorization.

113181952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 565 counting only the distinct ones).

The product of its digits is 2160, while the sum is 31.

The square root of 113181952 is about 10638.7006725446. The cubic root of 113181952 is about 483.7181611648.

The spelling of 113181952 in words is "one hundred thirteen million, one hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 128 142 208 256 284 416 479 568 832 923 958 1136 1664 1846 1916 2272 3328 3692 3832 4544 6227 7384 7664 9088 12454 14768 15328 18176 24908 29536 30656 34009 49816 59072 61312 68018 99632 118144 122624 136036 199264 236288 272072 398528 442117 544144 797056 884234 1088288 1594112 1768468 2176576 3536936 4353152 7073872 8706304 14147744 28295488 56590976 113181952