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12691792 = 2417291609
BaseRepresentation
bin110000011010…
…100101010000
3212212210212101
4300122211100
511222114132
61132010144
7212610211
oct60324520
925783771
1012691792
117189593
124300954
132824b49
141985408
1511aa7e7
hexc1a950

12691792 has 40 divisors (see below), whose sum is σ = 26951400. Its totient is φ = 5763072.

The previous prime is 12691781. The next prime is 12691793. The reversal of 12691792 is 29719621.

It can be written as a sum of positive squares in 4 ways, for example, as 7420176 + 5271616 = 2724^2 + 2296^2 .

It is a super-2 number, since 2×126917922 = 322163168342528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12691793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7084 + ... + 8692.

It is an arithmetic number, because the mean of its divisors is an integer number (673785).

Almost surely, 212691792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12691792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13475700).

12691792 is an abundant number, since it is smaller than the sum of its proper divisors (14259608).

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

12691792 is a wasteful number, since it uses less digits than its factorization.

12691792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1657 counting only the distinct ones).

The product of its digits is 13608, while the sum is 37.

The square root of 12691792 is about 3562.5541399395. The cubic root of 12691792 is about 233.2603817292.

The spelling of 12691792 in words is "twelve million, six hundred ninety-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1609 1972 3218 3944 6436 7888 12872 25744 27353 46661 54706 93322 109412 186644 218824 373288 437648 746576 793237 1586474 3172948 6345896 12691792