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13960896 = 263194389
BaseRepresentation
bin110101010000…
…011011000000
3222021021202020
4311100123000
512033222041
61215121440
7226444215
oct65203300
928237666
1013960896
117976034
124813280
132b7a6b1
141bd5b0c
15135b866
hexd506c0

13960896 has 112 divisors (see below), whose sum is σ = 40233600. Its totient is φ = 4257792.

The previous prime is 13960883. The next prime is 13960897. The reversal of 13960896 is 69806931.

It is not an unprimeable number, because it can be changed into a prime (13960897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156820 + ... + 156908.

Almost surely, 213960896 is an apocalyptic number.

13960896 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 13960896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20116800).

13960896 is an abundant number, since it is smaller than the sum of its proper divisors (26272704).

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

13960896 is a wasteful number, since it uses less digits than its factorization.

13960896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 13960896 is about 3736.4282409810. The cubic root of 13960896 is about 240.7896214480.

The spelling of 13960896 in words is "thirteen million, nine hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 64 76 86 89 96 114 129 152 172 178 192 228 258 267 304 344 356 456 516 534 608 688 712 817 912 1032 1068 1216 1376 1424 1634 1691 1824 2064 2136 2451 2752 2848 3268 3382 3648 3827 4128 4272 4902 5073 5696 6536 6764 7654 8256 8544 9804 10146 11481 13072 13528 15308 17088 19608 20292 22962 26144 27056 30616 39216 40584 45924 52288 54112 61232 72713 78432 81168 91848 108224 122464 145426 156864 162336 183696 218139 244928 290852 324672 367392 436278 581704 734784 872556 1163408 1745112 2326816 3490224 4653632 6980448 13960896