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13122792 = 2332182261
BaseRepresentation
bin110010000011…
…110011101000
3220200201002100
4302003303220
511324412132
61145133400
7216353604
oct62036350
926621070
1013122792
117453391
12448a260
132946087
141a58504
15124337c
hexc83ce8

13122792 has 24 divisors (see below), whose sum is σ = 35541090. Its totient is φ = 4374240.

The previous prime is 13122763. The next prime is 13122817. The reversal of 13122792 is 29722131.

It can be written as a sum of positive squares in only one way, i.e., 10074276 + 3048516 = 3174^2 + 1746^2 .

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 91059 + ... + 91202.

Almost surely, 213122792 is an apocalyptic number.

13122792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13122792 is an abundant number, since it is smaller than the sum of its proper divisors (22418298).

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

13122792 is a wasteful number, since it uses less digits than its factorization.

13122792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182273 (or 182266 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 13122792 is about 3622.5394407791. The cubic root of 13122792 is about 235.8714707587.

The spelling of 13122792 in words is "thirteen million, one hundred twenty-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 182261 364522 546783 729044 1093566 1458088 1640349 2187132 3280698 4374264 6561396 13122792