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12540792 = 2331167709
BaseRepresentation
bin101111110101…
…101101111000
3212121010201210
4233311231320
511202301132
61124443120
7211411035
oct57655570
925533653
1012540792
1170960a0
1242494a0
1327a11b4
14194638c
15117abcc
hexbf5b78

12540792 has 64 divisors (see below), whose sum is σ = 34761600. Its totient is φ = 3738240.

The previous prime is 12540791. The next prime is 12540797. The reversal of 12540792 is 29704521.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12540791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17334 + ... + 18042.

It is an arithmetic number, because the mean of its divisors is an integer number (543150).

Almost surely, 212540792 is an apocalyptic number.

12540792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12540792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17380800).

12540792 is an abundant number, since it is smaller than the sum of its proper divisors (22220808).

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

12540792 is a wasteful number, since it uses less digits than its factorization.

12540792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 12540792 is about 3541.2980670935. The cubic root of 12540792 is about 232.3316204848.

The spelling of 12540792 in words is "twelve million, five hundred forty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 709 737 804 1418 1474 1608 2127 2211 2836 2948 4254 4422 5672 5896 7799 8508 8844 15598 17016 17688 23397 31196 46794 47503 62392 93588 95006 142509 187176 190012 285018 380024 522533 570036 1045066 1140072 1567599 2090132 3135198 4180264 6270396 12540792