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113933520 = 2433552747
BaseRepresentation
bin1101100101001…
…11110011010000
321221101102102000
412302213303100
5213131333040
615145554000
72552263461
oct662476320
9257342360
10113933520
1159348a38
12321a5900
131a7b18ac
14111bad68
15a008130
hex6ca7cd0

113933520 has 80 divisors (see below), whose sum is σ = 392445120. Its totient is φ = 30381696.

The previous prime is 113933483. The next prime is 113933537. The reversal of 113933520 is 25339311.

It is a happy number.

113933520 is a `hidden beast` number, since 1 + 139 + 3 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24214 + ... + 28533.

It is an arithmetic number, because the mean of its divisors is an integer number (4905564).

Almost surely, 2113933520 is an apocalyptic number.

113933520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113933520 is an abundant number, since it is smaller than the sum of its proper divisors (278511600).

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

113933520 is a wasteful number, since it uses less digits than its factorization.

113933520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52769 (or 52757 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 113933520 is about 10673.9645867878. The cubic root of 113933520 is about 484.7864862423.

The spelling of 113933520 in words is "one hundred thirteen million, nine hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 52747 105494 158241 210988 263735 316482 421976 474723 527470 632964 791205 843952 949446 1054940 1265928 1424169 1582410 1898892 2109880 2373615 2531856 2848338 3164820 3797784 4219760 4747230 5696676 6329640 7120845 7595568 9494460 11393352 12659280 14241690 18988920 22786704 28483380 37977840 56966760 113933520