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12427992 = 23362131
BaseRepresentation
bin101111011010…
…001011011000
3212101102000000
4233122023120
511140143432
61122213000
7210431133
oct57321330
925342000
1012427992
117019375
1241b4160
132761a55
14191721a
15115757c
hexbda2d8

12427992 has 56 divisors (see below), whose sum is σ = 34954140. Its totient is φ = 4140720.

The previous prime is 12427991. The next prime is 12427997. The reversal of 12427992 is 29972421.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12427991) 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 13 ways as a sum of consecutive naturals, for example, 4767 + ... + 6897.

Almost surely, 212427992 is an apocalyptic number.

12427992 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 12427992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17477070).

12427992 is an abundant number, since it is smaller than the sum of its proper divisors (22526148).

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

12427992 is an equidigital number, since it uses as much as digits as its factorization.

12427992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2136 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 12427992 is about 3525.3357286931. The cubic root of 12427992 is about 231.6329411654.

The spelling of 12427992 in words is "twelve million, four hundred twenty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2131 2916 4262 5832 6393 8524 12786 17048 19179 25572 38358 51144 57537 76716 115074 153432 172611 230148 345222 460296 517833 690444 1035666 1380888 1553499 2071332 3106998 4142664 6213996 12427992