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13932416 = 27891223
BaseRepresentation
bin110101001001…
…011110000000
3222012211200102
4311021132000
512031314131
61214341532
7226265201
oct65113600
928184612
1013932416
1179566a3
1247ba8a8
132b6a744
141bc95a8
1513531cb
hexd49780

13932416 has 32 divisors (see below), whose sum is σ = 28090800. Its totient is φ = 6882304.

The previous prime is 13932407. The next prime is 13932433. The reversal of 13932416 is 61423931.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×139324162 = 388224431194112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10781 + ... + 12003.

Almost surely, 213932416 is an apocalyptic number.

13932416 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 13932416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14045400).

13932416 is an abundant number, since it is smaller than the sum of its proper divisors (14158384).

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

13932416 is an equidigital number, since it uses as much as digits as its factorization.

13932416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1314 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

The square root of 13932416 is about 3732.6151690202. The cubic root of 13932416 is about 240.6257743496.

The spelling of 13932416 in words is "thirteen million, nine hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1223 1424 2446 2848 4892 5696 9784 11392 19568 39136 78272 108847 156544 217694 435388 870776 1741552 3483104 6966208 13932416