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13975536 = 2432312659
BaseRepresentation
bin110101010011…
…111111110000
3222022000211110
4311103333300
512034204121
61215313320
7226535001
oct65237760
928260743
1013975536
117986033
12481b840
132b84263
141bdb1a8
151360d76
hexd53ff0

13975536 has 40 divisors (see below), whose sum is σ = 37676160. Its totient is φ = 4455616.

The previous prime is 13975531. The next prime is 13975537. The reversal of 13975536 is 63557931.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13975494 and 13975503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13975531) 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, 5226 + ... + 7433.

It is an arithmetic number, because the mean of its divisors is an integer number (941904).

Almost surely, 213975536 is an apocalyptic number.

13975536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13975536 is an abundant number, since it is smaller than the sum of its proper divisors (23700624).

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

13975536 is a wasteful number, since it uses less digits than its factorization.

13975536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12693 (or 12687 counting only the distinct ones).

The product of its digits is 85050, while the sum is 39.

The square root of 13975536 is about 3738.3868178668. The cubic root of 13975536 is about 240.8737595186.

The spelling of 13975536 in words is "thirteen million, nine hundred seventy-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 12659 25318 37977 50636 75954 101272 151908 202544 291157 303816 582314 607632 873471 1164628 1746942 2329256 3493884 4658512 6987768 13975536