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12967092 = 2232360197
BaseRepresentation
bin110001011101…
…110010110100
3220101210111200
4301131302310
511304421332
61141532500
7215134635
oct61356264
926353450
1012967092
117357406
124414130
1328c0248
141a1788c
15121217c
hexc5dcb4

12967092 has 18 divisors (see below), whose sum is σ = 32778018. Its totient is φ = 4322352.

The previous prime is 12967069. The next prime is 12967093. The reversal of 12967092 is 29076921.

It can be written as a sum of positive squares in only one way, i.e., 9960336 + 3006756 = 3156^2 + 1734^2 .

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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: 360197 = 12967092 / (1 + 2 + 9 + 6 + 7 + 0 + 9 + 2).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12967093) 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 5 ways as a sum of consecutive naturals, for example, 180063 + ... + 180134.

It is an arithmetic number, because the mean of its divisors is an integer number (1821001).

Almost surely, 212967092 is an apocalyptic number.

12967092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12967092 is an abundant number, since it is smaller than the sum of its proper divisors (19810926).

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

12967092 is a wasteful number, since it uses less digits than its factorization.

12967092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360207 (or 360202 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 12967092 is about 3600.9848652834. The cubic root of 12967092 is about 234.9348967085.

The spelling of 12967092 in words is "twelve million, nine hundred sixty-seven thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 360197 720394 1080591 1440788 2161182 3241773 4322364 6483546 12967092