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13079376 = 2432611489
BaseRepresentation
bin110001111001…
…001101010000
3220121111112100
4301321031100
511322020001
61144200400
7216113202
oct61711520
926544470
1013079376
117423802
124469100
13292c39b
141a46772
151235586
hexc79350

13079376 has 60 divisors (see below), whose sum is σ = 37229140. Its totient is φ = 4285440.

The previous prime is 13079371. The next prime is 13079401. The reversal of 13079376 is 67397031.

It can be written as a sum of positive squares in 2 ways, for example, as 1382976 + 11696400 = 1176^2 + 3420^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13079376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13079371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8040 + ... + 9528.

Almost surely, 213079376 is an apocalyptic number.

13079376 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 13079376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18614570).

13079376 is an abundant number, since it is smaller than the sum of its proper divisors (24149764).

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

13079376 is a wasteful number, since it uses less digits than its factorization.

13079376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 13079376 is about 3616.5419947790. The cubic root of 13079376 is about 235.6110609808.

The spelling of 13079376 in words is "thirteen million, seventy-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 1489 2196 2928 2978 4392 4467 5956 8784 8934 11912 13401 17868 23824 26802 35736 53604 71472 90829 107208 181658 214416 272487 363316 544974 726632 817461 1089948 1453264 1634922 2179896 3269844 4359792 6539688 13079376