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13830936 = 2337219619
BaseRepresentation
bin110100110000…
…101100011000
3222000200110220
4310300230120
512020042221
61212240040
7225363300
oct64605430
928020426
1013830936
117897429
124770020
132b334b2
141ba0600
1513330c6
hexd30b18

13830936 has 96 divisors (see below), whose sum is σ = 42408000. Its totient is φ = 3737664.

The previous prime is 13830923. The next prime is 13830953. The reversal of 13830936 is 63903831.

It is a junction number, because it is equal to n+sod(n) for n = 13830897 and 13830906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22035 + ... + 22653.

It is an arithmetic number, because the mean of its divisors is an integer number (441750).

Almost surely, 213830936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13830936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204000).

13830936 is an abundant number, since it is smaller than the sum of its proper divisors (28577064).

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

13830936 is a wasteful number, since it uses less digits than its factorization.

13830936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 13830936 is about 3718.9966388799. The cubic root of 13830936 is about 240.0401321777.

The spelling of 13830936 in words is "thirteen million, eight hundred thirty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 619 798 931 1064 1176 1238 1596 1857 1862 2476 2793 3192 3714 3724 4333 4952 5586 7428 7448 8666 11172 11761 12999 14856 17332 22344 23522 25998 30331 34664 35283 47044 51996 60662 70566 82327 90993 94088 103992 121324 141132 164654 181986 242648 246981 282264 329308 363972 493962 576289 658616 727944 987924 1152578 1728867 1975848 2305156 3457734 4610312 6915468 13830936