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13696512 = 29337241
BaseRepresentation
bin110100001111…
…111000000000
3221202212002020
4310033320000
512001242022
61205321440
7224263344
oct64177000
927685066
1013696512
117805435
124706280
132ab725b
141b67624
15130835c
hexd0fe00

13696512 has 80 divisors (see below), whose sum is σ = 37630032. Its totient is φ = 4423680.

The previous prime is 13696493. The next prime is 13696517. The reversal of 13696512 is 21569631.

It is a happy number.

It is a super-2 number, since 2×136965122 = 375188881932288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13696517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56712 + ... + 56952.

Almost surely, 213696512 is an apocalyptic number.

13696512 is a gapful number since it is divisible by the number (12) 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 13696512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18815016).

13696512 is an abundant number, since it is smaller than the sum of its proper divisors (23933520).

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

13696512 is an equidigital number, since it uses as much as digits as its factorization.

13696512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 283 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 13696512 is about 3700.8798953762. The cubic root of 13696512 is about 239.2599425468.

The spelling of 13696512 in words is "thirteen million, six hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 241 256 296 384 444 482 512 592 723 768 888 964 1184 1446 1536 1776 1928 2368 2892 3552 3856 4736 5784 7104 7712 8917 9472 11568 14208 15424 17834 18944 23136 26751 28416 30848 35668 46272 53502 56832 61696 71336 92544 107004 123392 142672 185088 214008 285344 370176 428016 570688 856032 1141376 1712064 2282752 3424128 4565504 6848256 13696512