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10113936 = 243731971
BaseRepresentation
bin100110100101…
…001110010000
3201000211201020
4212211032100
510042121221
61000435440
7151652460
oct46451620
921024636
1010113936
115788828
123478b80
1321316a1
1414b3ba0
15d4bac6
hex9a5390

10113936 has 80 divisors (see below), whose sum is σ = 30855168. Its totient is φ = 2793600.

The previous prime is 10113923. The next prime is 10113941. The reversal of 10113936 is 63931101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 9931 + ... + 10901.

Almost surely, 210113936 is an apocalyptic number.

10113936 is a gapful number since it is divisible by the number (16) 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 10113936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427584).

10113936 is an abundant number, since it is smaller than the sum of its proper divisors (20741232).

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

10113936 is a wasteful number, since it uses less digits than its factorization.

10113936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 10113936 is about 3180.2415002638. The cubic root of 10113936 is about 216.2586065827.

The spelling of 10113936 in words is "ten million, one hundred thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 971 1302 1488 1736 1942 2604 2913 3472 3884 5208 5826 6797 7768 10416 11652 13594 15536 20391 23304 27188 30101 40782 46608 54376 60202 81564 90303 108752 120404 163128 180606 210707 240808 326256 361212 421414 481616 632121 722424 842828 1264242 1444848 1685656 2528484 3371312 5056968 10113936