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13830096 = 243741161
BaseRepresentation
bin110100110000…
…011111010000
3222000122022210
4310300133100
512020030341
61212232120
7225360660
oct64603720
928018283
1013830096
117896835
12476b640
132b32cb7
141ba01a0
151332c16
hexd307d0

13830096 has 40 divisors (see below), whose sum is σ = 40832704. Its totient is φ = 3951360.

The previous prime is 13830059. The next prime is 13830101. The reversal of 13830096 is 69003831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20245 + ... + 20916.

Almost surely, 213830096 is an apocalyptic number.

13830096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13830096 is an abundant number, since it is smaller than the sum of its proper divisors (27002608).

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

13830096 is a wasteful number, since it uses less digits than its factorization.

13830096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41179 (or 41173 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 13830096 is about 3718.8837034788. The cubic root of 13830096 is about 240.0352725935.

The spelling of 13830096 in words is "thirteen million, eight hundred thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 41161 82322 123483 164644 246966 288127 329288 493932 576254 658576 864381 987864 1152508 1728762 1975728 2305016 3457524 4610032 6915048 13830096