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13581696 = 273113313
BaseRepresentation
bin110011110011…
…110110000000
3221120000120210
4303303312000
511434103241
61203034120
7223304532
oct63636600
927500523
1013581696
117737147
12466b940
132a76c0b
141b37852
1512d4316
hexcf3d80

13581696 has 64 divisors (see below), whose sum is σ = 36511920. Its totient is φ = 4472832.

The previous prime is 13581671. The next prime is 13581703. The reversal of 13581696 is 69618531.

13581696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43236 + ... + 43548.

Almost surely, 213581696 is an apocalyptic number.

13581696 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 13581696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18255960).

13581696 is an abundant number, since it is smaller than the sum of its proper divisors (22930224).

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

13581696 is a wasteful number, since it uses less digits than its factorization.

13581696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 13581696 is about 3685.3352629035. The cubic root of 13581696 is about 238.5895044434.

The spelling of 13581696 in words is "thirteen million, five hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 313 339 384 452 626 678 904 939 1252 1356 1808 1878 2504 2712 3616 3756 5008 5424 7232 7512 10016 10848 14464 15024 20032 21696 30048 35369 40064 43392 60096 70738 106107 120192 141476 212214 282952 424428 565904 848856 1131808 1697712 2263616 3395424 4527232 6790848 13581696