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13695960 = 2335196007
BaseRepresentation
bin110100001111…
…101111011000
3221202211022210
4310033233120
512001232320
61205315120
7224261625
oct64175730
927684283
1013695960
117804a83
124705aa0
132ab6c25
141b6734c
1513080e0
hexd0fbd8

13695960 has 64 divisors (see below), whose sum is σ = 43257600. Its totient is φ = 3459456.

The previous prime is 13695949. The next prime is 13695961. The reversal of 13695960 is 6959631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13695961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 724 + ... + 5283.

It is an arithmetic number, because the mean of its divisors is an integer number (675900).

Almost surely, 213695960 is an apocalyptic number.

13695960 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 13695960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21628800).

13695960 is an abundant number, since it is smaller than the sum of its proper divisors (29561640).

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

13695960 is a wasteful number, since it uses less digits than its factorization.

13695960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6040 (or 6036 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 13695960 is about 3700.8053177653. The cubic root of 13695960 is about 239.2567282671.

The spelling of 13695960 in words is "thirteen million, six hundred ninety-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 6007 12014 18021 24028 30035 36042 48056 60070 72084 90105 114133 120140 144168 180210 228266 240280 342399 360420 456532 570665 684798 720840 913064 1141330 1369596 1711995 2282660 2739192 3423990 4565320 6847980 13695960