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13807764 = 2232383549
BaseRepresentation
bin110100101011…
…000010010100
3221222111200200
4310223002110
512013322024
61211540500
7225235605
oct64530224
927874620
1013807764
117880a83
12475a730
132b25a99
141b95dac
15132b2c9
hexd2b094

13807764 has 18 divisors (see below), whose sum is σ = 34903050. Its totient is φ = 4602576.

The previous prime is 13807753. The next prime is 13807769. The reversal of 13807764 is 46770831.

It can be written as a sum of positive squares in only one way, i.e., 13395600 + 412164 = 3660^2 + 642^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 383549 = 13807764 / (1 + 3 + 8 + 0 + 7 + 7 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13807769) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 191739 + ... + 191810.

Almost surely, 213807764 is an apocalyptic number.

It is an amenable number.

13807764 is an abundant number, since it is smaller than the sum of its proper divisors (21095286).

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

13807764 is a wasteful number, since it uses less digits than its factorization.

13807764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383559 (or 383554 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 13807764 is about 3715.8799765331. The cubic root of 13807764 is about 239.9060048586.

The spelling of 13807764 in words is "thirteen million, eight hundred seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 383549 767098 1150647 1534196 2301294 3451941 4602588 6903882 13807764