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12520992 = 2531171167
BaseRepresentation
bin101111110000…
…111000100000
3212120010120110
4233300320200
511201132432
61124211320
7211266231
oct57607040
925503513
1012520992
117082230
124239b40
132795193
14193d088
151174dcc
hexbf0e20

12520992 has 96 divisors (see below), whose sum is σ = 36578304. Its totient is φ = 3718400.

The previous prime is 12520987. The next prime is 12520997. The reversal of 12520992 is 29902521.

It is an interprime number because it is at equal distance from previous prime (12520987) and next prime (12520997).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12520997) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 74893 + ... + 75059.

It is an arithmetic number, because the mean of its divisors is an integer number (381024).

Almost surely, 212520992 is an apocalyptic number.

12520992 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 12520992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152).

12520992 is an abundant number, since it is smaller than the sum of its proper divisors (24057312).

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

12520992 is a wasteful number, since it uses less digits than its factorization.

12520992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 12520992 is about 3538.5013777021. The cubic root of 12520992 is about 232.2092840008.

The spelling of 12520992 in words is "twelve million, five hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 132 142 167 176 213 264 284 334 352 426 501 528 568 668 781 852 1002 1056 1136 1336 1562 1704 1837 2004 2272 2343 2672 3124 3408 3674 4008 4686 5344 5511 6248 6816 7348 8016 9372 11022 11857 12496 14696 16032 18744 22044 23714 24992 29392 35571 37488 44088 47428 58784 71142 74976 88176 94856 130427 142284 176352 189712 260854 284568 379424 391281 521708 569136 782562 1043416 1138272 1565124 2086832 3130248 4173664 6260496 12520992