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113789940 = 223511533253
BaseRepresentation
bin1101100100001…
…00101111110100
321221010010110020
412302010233310
5213112234230
615142525140
72551125045
oct662045764
9257103406
10113789940
1159260080
12321367b0
131a761434
14111808cc
159eca810
hex6c84bf4

113789940 has 96 divisors (see below), whose sum is σ = 354243456. Its totient is φ = 27056640.

The previous prime is 113789927. The next prime is 113789953. The reversal of 113789940 is 49987311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113789927) and next prime (113789953).

It is a junction number, because it is equal to n+sod(n) for n = 113789892 and 113789901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33354 + ... + 36606.

It is an arithmetic number, because the mean of its divisors is an integer number (3690036).

Almost surely, 2113789940 is an apocalyptic number.

113789940 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 113789940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177121728).

113789940 is an abundant number, since it is smaller than the sum of its proper divisors (240453516).

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

113789940 is a wasteful number, since it uses less digits than its factorization.

113789940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3329 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 113789940 is about 10667.2367555989. The cubic root of 113789940 is about 484.5827566071.

The spelling of 113789940 in words is "one hundred thirteen million, seven hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 106 110 132 159 165 212 220 265 318 330 530 583 636 660 795 1060 1166 1590 1749 2332 2915 3180 3253 3498 5830 6506 6996 8745 9759 11660 13012 16265 17490 19518 32530 34980 35783 39036 48795 65060 71566 97590 107349 143132 172409 178915 195180 214698 344818 357830 429396 517227 536745 689636 715660 862045 1034454 1073490 1724090 1896499 2068908 2146980 2586135 3448180 3792998 5172270 5689497 7585996 9482495 10344540 11378994 18964990 22757988 28447485 37929980 56894970 113789940