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13626704 = 247313191
BaseRepresentation
bin110011111110…
…110101010000
3221122022022202
4303332311100
511442023304
61204022332
7223553000
oct63766520
927568282
1013626704
117767a43
1246919a8
132a91550
141b4a000
1512e281e
hexcfed50

13626704 has 80 divisors (see below), whose sum is σ = 33331200. Its totient is φ = 5362560.

The previous prime is 13626703. The next prime is 13626709. The reversal of 13626704 is 40762631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13626703) 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, 71249 + ... + 71439.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 213626704 is an apocalyptic number.

13626704 is a gapful number since it is divisible by the number (14) 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 13626704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665600).

13626704 is an abundant number, since it is smaller than the sum of its proper divisors (19704496).

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

13626704 is a wasteful number, since it uses less digits than its factorization.

13626704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 13626704 is about 3691.4365767273. The cubic root of 13626704 is about 238.8527655332.

The spelling of 13626704 in words is "thirteen million, six hundred twenty-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 191 196 208 343 364 382 392 637 686 728 764 784 1274 1337 1372 1456 1528 2483 2548 2674 2744 3056 4459 4966 5096 5348 5488 8918 9359 9932 10192 10696 17381 17836 18718 19864 21392 34762 35672 37436 39728 65513 69524 71344 74872 121667 131026 139048 149744 243334 262052 278096 486668 524104 851669 973336 1048208 1703338 1946672 3406676 6813352 13626704