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13139776 = 261317929
BaseRepresentation
bin110010000111…
…111101000000
3220201120101101
4302013331000
511330433101
61145344144
7216454246
oct62077500
926646341
1013139776
117465121
124498054
132950a20
141a60796
151248401
hexc87f40

13139776 has 56 divisors (see below), whose sum is σ = 29763720. Its totient is φ = 5701632.

The previous prime is 13139767. The next prime is 13139783. The reversal of 13139776 is 67793131.

It can be written as a sum of positive squares in 4 ways, for example, as 6400 + 13133376 = 80^2 + 3624^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13680 + ... + 14608.

It is an arithmetic number, because the mean of its divisors is an integer number (531495).

Almost surely, 213139776 is an apocalyptic number.

13139776 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 13139776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881860).

13139776 is an abundant number, since it is smaller than the sum of its proper divisors (16623944).

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

13139776 is a wasteful number, since it uses less digits than its factorization.

13139776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 961 counting only the distinct ones).

The product of its digits is 23814, while the sum is 37.

The square root of 13139776 is about 3624.8828946602. The cubic root of 13139776 is about 235.9731847345.

The spelling of 13139776 in words is "thirteen million, one hundred thirty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 929 1088 1768 1858 3536 3716 7072 7432 12077 14144 14864 15793 24154 29728 31586 48308 59456 63172 96616 126344 193232 205309 252688 386464 410618 505376 772928 821236 1010752 1642472 3284944 6569888 13139776