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13816704 = 273113271
BaseRepresentation
bin110100101101…
…001110000000
3221222221221210
4310231032000
512014113304
61212050120
7225303636
oct64551600
927887853
1013816704
117887770
124763940
132b29b85
141b99356
15132dc89
hexd2d380

13816704 has 64 divisors (see below), whose sum is σ = 40049280. Its totient is φ = 4185600.

The previous prime is 13816697. The next prime is 13816709. The reversal of 13816704 is 40761831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13816709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2589 + ... + 5859.

It is an arithmetic number, because the mean of its divisors is an integer number (625770).

Almost surely, 213816704 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 13816704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20024640).

13816704 is an abundant number, since it is smaller than the sum of its proper divisors (26232576).

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

13816704 is a wasteful number, since it uses less digits than its factorization.

13816704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 13816704 is about 3717.0827270859. The cubic root of 13816704 is about 239.9577703476.

The spelling of 13816704 in words is "thirteen million, eight hundred sixteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 3271 4224 6542 9813 13084 19626 26168 35981 39252 52336 71962 78504 104672 107943 143924 157008 209344 215886 287848 314016 418688 431772 575696 628032 863544 1151392 1256064 1727088 2302784 3454176 4605568 6908352 13816704