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13731620 = 2257432281
BaseRepresentation
bin110100011000…
…011100100100
3221211122020112
4310120130210
512003402440
61210152152
7224500610
oct64303444
927748215
1013731620
117829851
124722658
132aca226
141b76340
151313965
hexd18724

13731620 has 48 divisors (see below), whose sum is σ = 33737088. Its totient is φ = 4596480.

The previous prime is 13731593. The next prime is 13731629. The reversal of 13731620 is 2613731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13731629) 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, 4880 + ... + 7160.

It is an arithmetic number, because the mean of its divisors is an integer number (702856).

Almost surely, 213731620 is an apocalyptic number.

13731620 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 13731620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16868544).

13731620 is an abundant number, since it is smaller than the sum of its proper divisors (20005468).

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

13731620 is a wasteful number, since it uses less digits than its factorization.

13731620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 13731620 is about 3705.6200560770. The cubic root of 13731620 is about 239.4641982273.

The spelling of 13731620 in words is "thirteen million, seven hundred thirty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 2281 3010 4562 6020 9124 11405 15967 22810 31934 45620 63868 79835 98083 159670 196166 319340 392332 490415 686581 980830 1373162 1961660 2746324 3432905 6865810 13731620