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13142664 = 2332182537
BaseRepresentation
bin110010001000…
…101010001000
3220201201100100
4302020222020
511331031124
61145405400
7216465543
oct62105210
926651310
1013142664
117467307
124499860
132952132
141a6185a
1512491c9
hexc88a88

13142664 has 24 divisors (see below), whose sum is σ = 35594910. Its totient is φ = 4380864.

The previous prime is 13142641. The next prime is 13142693. The reversal of 13142664 is 46624131.

It can be written as a sum of positive squares in only one way, i.e., 10614564 + 2528100 = 3258^2 + 1590^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91197 + ... + 91340.

Almost surely, 213142664 is an apocalyptic number.

It is an amenable number.

13142664 is an abundant number, since it is smaller than the sum of its proper divisors (22452246).

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

13142664 is a wasteful number, since it uses less digits than its factorization.

13142664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182549 (or 182542 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13142664 is about 3625.2812304703. The cubic root of 13142664 is about 235.9904717019.

Adding to 13142664 its reverse (46624131), we get a palindrome (59766795).

The spelling of 13142664 in words is "thirteen million, one hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 182537 365074 547611 730148 1095222 1460296 1642833 2190444 3285666 4380888 6571332 13142664