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13710816 = 253372267
BaseRepresentation
bin110100010011…
…010111100000
3221210120201000
4310103113200
512002221231
61205512000
7224353140
oct64232740
927716630
1013710816
117815159
124712600
132ac0912
141b6c920
15130c6e6
hexd135e0

13710816 has 96 divisors (see below), whose sum is σ = 45722880. Its totient is φ = 3915648.

The previous prime is 13710803. The next prime is 13710817. The reversal of 13710816 is 61801731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13710816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13710817) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4915 + ... + 7181.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 213710816 is an apocalyptic number.

13710816 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 13710816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861440).

13710816 is an abundant number, since it is smaller than the sum of its proper divisors (32012064).

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

13710816 is a wasteful number, since it uses less digits than its factorization.

13710816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 13710816 is about 3702.8119044856. The cubic root of 13710816 is about 239.3432042201.

The spelling of 13710816 in words is "thirteen million, seven hundred ten thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 2267 3024 4534 6048 6801 9068 13602 15869 18136 20403 27204 31738 36272 40806 47607 54408 61209 63476 72544 81612 95214 108816 122418 126952 142821 163224 190428 217632 244836 253904 285642 326448 380856 428463 489672 507808 571284 652896 761712 856926 979344 1142568 1523424 1713852 1958688 2285136 3427704 4570272 6855408 13710816