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13736916 = 22323710313
BaseRepresentation
bin110100011001…
…101111010100
3221211220111200
4310121233110
512004040131
61210232500
7224522214
oct64315724
927756450
1013736916
117832826
124725730
132acc76b
141b78244
1513152e6
hexd19bd4

13736916 has 36 divisors (see below), whose sum is σ = 35665812. Its totient is φ = 4454784.

The previous prime is 13736903. The next prime is 13736917. The reversal of 13736916 is 61963731.

It can be written as a sum of positive squares in 2 ways, for example, as 9326916 + 4410000 = 3054^2 + 2100^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×137369162 = 377405722382112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13736917) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3825 + ... + 6488.

It is an arithmetic number, because the mean of its divisors is an integer number (990717).

Almost surely, 213736916 is an apocalyptic number.

It is an amenable number.

13736916 is an abundant number, since it is smaller than the sum of its proper divisors (21928896).

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

13736916 is a wasteful number, since it uses less digits than its factorization.

13736916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10360 (or 10355 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 13736916 is about 3706.3345774498. The cubic root of 13736916 is about 239.4949797226.

The spelling of 13736916 in words is "thirteen million, seven hundred thirty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 10313 20626 30939 41252 61878 92817 123756 185634 371268 381581 763162 1144743 1526324 2289486 3434229 4578972 6868458 13736916