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13695720 = 2335611871
BaseRepresentation
bin110100001111…
…101011101000
3221202210222220
4310033223220
512001230340
61205314040
7224261133
oct64175350
927683886
1013695720
117804885
124705920
132ab6a9c
141b6721a
151307ed0
hexd0fae8

13695720 has 64 divisors (see below), whose sum is σ = 41783040. Its totient is φ = 3590400.

The previous prime is 13695691. The next prime is 13695733. The reversal of 13695720 is 2759631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6385 + ... + 8255.

It is an arithmetic number, because the mean of its divisors is an integer number (652860).

Almost surely, 213695720 is an apocalyptic number.

13695720 is a gapful number since it is divisible by the number (10) 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 13695720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891520).

13695720 is an abundant number, since it is smaller than the sum of its proper divisors (28087320).

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

13695720 is a wasteful number, since it uses less digits than its factorization.

13695720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 13695720 is about 3700.7728922483. The cubic root of 13695720 is about 239.2553307272.

The spelling of 13695720 in words is "thirteen million, six hundred ninety-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 1871 2440 3660 3742 5613 7320 7484 9355 11226 14968 18710 22452 28065 37420 44904 56130 74840 112260 114131 224520 228262 342393 456524 570655 684786 913048 1141310 1369572 1711965 2282620 2739144 3423930 4565240 6847860 13695720