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113913940 = 225717232081
BaseRepresentation
bin1101100101000…
…11000001010100
321221100102112211
412302203001110
5213130221230
615145323204
72552152420
oct662430124
9257312484
10113913940
1159335258
1232196504
131a7a59ca
14111b3b80
15a00242a
hex6ca3054

113913940 has 96 divisors (see below), whose sum is σ = 302206464. Its totient is φ = 35143680.

The previous prime is 113913913. The next prime is 113913941. The reversal of 113913940 is 49319311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113913941) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 53700 + ... + 55780.

It is an arithmetic number, because the mean of its divisors is an integer number (3147984).

Almost surely, 2113913940 is an apocalyptic number.

113913940 is a gapful number since it is divisible by the number (10) 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 113913940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151103232).

113913940 is an abundant number, since it is smaller than the sum of its proper divisors (188292524).

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

113913940 is a wasteful number, since it uses less digits than its factorization.

113913940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 113913940 is about 10673.0473623984. The cubic root of 113913940 is about 484.7587137213.

The spelling of 113913940 in words is "one hundred thirteen million, nine hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 68 70 85 92 115 119 140 161 170 230 238 322 340 391 460 476 595 644 782 805 1190 1564 1610 1955 2081 2380 2737 3220 3910 4162 5474 7820 8324 10405 10948 13685 14567 20810 27370 29134 35377 41620 47863 54740 58268 70754 72835 95726 141508 145670 176885 191452 239315 247639 291340 335041 353770 478630 495278 670082 707540 813671 957260 990556 1238195 1340164 1627342 1675205 2476390 3254684 3350410 4068355 4952780 5695697 6700820 8136710 11391394 16273420 22782788 28478485 56956970 113913940