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13612416 = 27335449
BaseRepresentation
bin110011111011…
…010110000000
3221121120201120
4303323112000
511441044131
61203432240
7223463226
oct63732600
927546646
1013612416
117758234
124685680
132a87bac
141b44b16
1512dd496
hexcfb580

13612416 has 32 divisors (see below), whose sum is σ = 36159000. Its totient is φ = 4537344.

The previous prime is 13612399. The next prime is 13612453. The reversal of 13612416 is 61421631.

13612416 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 (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 17341 + ... + 18108.

Almost surely, 213612416 is an apocalyptic number.

13612416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13612416 is an abundant number, since it is smaller than the sum of its proper divisors (22546584).

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

13612416 is an equidigital number, since it uses as much as digits as its factorization.

13612416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35466 (or 35454 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 13612416 is about 3689.5007792383. The cubic root of 13612416 is about 238.7692549550.

It can be divided in two parts, 13612 and 416, that added together give a triangular number (14028 = T167).

The spelling of 13612416 in words is "thirteen million, six hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 35449 70898 106347 141796 212694 283592 425388 567184 850776 1134368 1701552 2268736 3403104 4537472 6806208 13612416