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113249340 = 22345531319
BaseRepresentation
bin1101100000000…
…00110000111100
321220002122220000
412300000300330
5212442434330
615123154300
72543414001
oct660006074
9256078800
10113249340
1158a209a6
1231b15990
131a602359
141107d8a8
159e20560
hex6c00c3c

113249340 has 120 divisors (see below), whose sum is σ = 362244960. Its totient is φ = 29607552.

The previous prime is 113249327. The next prime is 113249351. The reversal of 113249340 is 43942311.

113249340 is a `hidden beast` number, since 1 + 132 + 493 + 40 = 666.

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 39 ways as a sum of consecutive naturals, for example, 85201 + ... + 86519.

It is an arithmetic number, because the mean of its divisors is an integer number (3018708).

Almost surely, 2113249340 is an apocalyptic number.

113249340 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 113249340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181122480).

113249340 is an abundant number, since it is smaller than the sum of its proper divisors (248995620).

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

113249340 is a wasteful number, since it uses less digits than its factorization.

113249340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 113249340 is about 10641.8673173461. The cubic root of 113249340 is about 483.8141432882.

The spelling of 113249340 in words is "one hundred thirteen million, two hundred forty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 81 90 106 108 135 159 162 180 212 265 270 318 324 405 477 530 540 636 795 810 954 1060 1319 1431 1590 1620 1908 2385 2638 2862 3180 3957 4293 4770 5276 5724 6595 7155 7914 8586 9540 11871 13190 14310 15828 17172 19785 21465 23742 26380 28620 35613 39570 42930 47484 59355 69907 71226 79140 85860 106839 118710 139814 142452 178065 209721 213678 237420 279628 349535 356130 419442 427356 534195 629163 699070 712260 838884 1048605 1068390 1258326 1398140 1887489 2097210 2136780 2516652 3145815 3774978 4194420 5662467 6291630 7549956 9437445 11324934 12583260 18874890 22649868 28312335 37749780 56624670 113249340