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13389216 = 253211661
BaseRepresentation
bin110011000100…
…110110100000
3221012020112220
4303010312200
511411423331
61154551040
7221543421
oct63046640
927166486
1013389216
117615575
124598480
132a0a419
141ac7648
151297296
hexcc4da0

13389216 has 48 divisors (see below), whose sum is σ = 35366688. Its totient is φ = 4435200.

The previous prime is 13389203. The next prime is 13389223. The reversal of 13389216 is 61298331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×133892162 = 358542210189312, which contains 22 as substring.

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, 19926 + ... + 20586.

It is an arithmetic number, because the mean of its divisors is an integer number (736806).

Almost surely, 213389216 is an apocalyptic number.

13389216 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 13389216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683344).

13389216 is an abundant number, since it is smaller than the sum of its proper divisors (21977472).

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

13389216 is a wasteful number, since it uses less digits than its factorization.

13389216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 877 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 13389216 is about 3659.1277649188. The cubic root of 13389216 is about 237.4570396903.

The spelling of 13389216 in words is "thirteen million, three hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 422 633 661 844 1266 1322 1688 1983 2532 2644 3376 3966 5064 5288 6752 7932 10128 10576 15864 20256 21152 31728 63456 139471 278942 418413 557884 836826 1115768 1673652 2231536 3347304 4463072 6694608 13389216