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13967772 = 22371312791
BaseRepresentation
bin110101010010…
…000110011100
3222021122011220
4311102012130
512033432042
61215213340
7226503240
oct65220634
928248156
1013967772
117980215
124817250
132b80870
141bd8420
15135d8ec
hexd5219c

13967772 has 48 divisors (see below), whose sum is σ = 40115712. Its totient is φ = 3683520.

The previous prime is 13967743. The next prime is 13967773. The reversal of 13967772 is 27776931.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13967773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5304 + ... + 7487.

It is an arithmetic number, because the mean of its divisors is an integer number (835744).

Almost surely, 213967772 is an apocalyptic number.

13967772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13967772 is an abundant number, since it is smaller than the sum of its proper divisors (26147940).

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

13967772 is a wasteful number, since it uses less digits than its factorization.

13967772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12818 (or 12816 counting only the distinct ones).

The product of its digits is 111132, while the sum is 42.

The square root of 13967772 is about 3737.3482577892. The cubic root of 13967772 is about 240.8291460767.

The spelling of 13967772 in words is "thirteen million, nine hundred sixty-seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 12791 25582 38373 51164 76746 89537 153492 166283 179074 268611 332566 358148 498849 537222 665132 997698 1074444 1163981 1995396 2327962 3491943 4655924 6983886 13967772