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13679776 = 251123533
BaseRepresentation
bin110100001011…
…110010100000
3221202000010101
4310023302200
512000223101
61205112144
7224163505
oct64136240
927660111
1013679776
1177a3900
1246b8654
132aac756
141b614ac
151303401
hexd0bca0

13679776 has 36 divisors (see below), whose sum is σ = 29611386. Its totient is φ = 6216320.

The previous prime is 13679767. The next prime is 13679789. The reversal of 13679776 is 67797631.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9759376 + 3920400 = 3124^2 + 1980^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2106 + ... + 5638.

Almost surely, 213679776 is an apocalyptic number.

13679776 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 13679776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805693).

13679776 is an abundant number, since it is smaller than the sum of its proper divisors (15931610).

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

13679776 is a wasteful number, since it uses less digits than its factorization.

13679776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3546 counting only the distinct ones).

The product of its digits is 333396, while the sum is 46.

The square root of 13679776 is about 3698.6181203255. The cubic root of 13679776 is about 239.1624509017.

The spelling of 13679776 in words is "thirteen million, six hundred seventy-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3533 3872 7066 14132 28264 38863 56528 77726 113056 155452 310904 427493 621808 854986 1243616 1709972 3419944 6839888 13679776