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113927940 = 223257212917
BaseRepresentation
bin1101100101001…
…10011100000100
321221101010202100
412302212130010
5213131143230
615145512100
72552241300
oct662463404
9257333670
10113927940
1159344825
12321a2630
131a7ac1a9
14111b8d00
15a006660
hex6ca6704

113927940 has 108 divisors (see below), whose sum is σ = 402033996. Its totient is φ = 26038656.

The previous prime is 113927927. The next prime is 113927959. The reversal of 113927940 is 49729311.

It can be written as a sum of positive squares in 2 ways, for example, as 51581124 + 62346816 = 7182^2 + 7896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113927895 and 113927904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2362 + ... + 15278.

It is an arithmetic number, because the mean of its divisors is an integer number (3722537).

Almost surely, 2113927940 is an apocalyptic number.

113927940 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 113927940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201016998).

113927940 is an abundant number, since it is smaller than the sum of its proper divisors (288106056).

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

113927940 is a wasteful number, since it uses less digits than its factorization.

113927940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12946 (or 12934 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 113927940 is about 10673.7031999208. The cubic root of 113927940 is about 484.7785718235.

The spelling of 113927940 in words is "one hundred thirteen million, nine hundred twenty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 12917 25834 38751 51668 64585 77502 90419 116253 129170 155004 180838 193755 232506 258340 271257 361676 387510 452095 465012 542514 581265 632933 775020 813771 904190 1085028 1162530 1265866 1356285 1627542 1808380 1898799 2325060 2531732 2712570 3164665 3255084 3797598 4068855 5425140 5696397 6329330 7595196 8137710 9493995 11392794 12658660 16275420 18987990 22785588 28481985 37975980 56963970 113927940