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12088480 = 25575553
BaseRepresentation
bin101110000111…
…010010100000
3211202011021111
4232013102200
511043312410
61111033104
7204515245
oct56072240
924664244
1012088480
116907288
12406b794
132673361
1418695cc
1510dbb8a
hexb874a0

12088480 has 24 divisors (see below), whose sum is σ = 28559412. Its totient is φ = 4835328.

The previous prime is 12088477. The next prime is 12088487. The reversal of 12088480 is 8488021.

It can be written as a sum of positive squares in 2 ways, for example, as 11587216 + 501264 = 3404^2 + 708^2 .

It is a super-2 number, since 2×120884802 = 292262697420800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12088487) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37617 + ... + 37936.

Almost surely, 212088480 is an apocalyptic number.

12088480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12088480 is an abundant number, since it is smaller than the sum of its proper divisors (16470932).

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

12088480 is an equidigital number, since it uses as much as digits as its factorization.

12088480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75568 (or 75560 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 12088480 is about 3476.8491482950. The cubic root of 12088480 is about 229.5041618249.

The spelling of 12088480 in words is "twelve million, eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 75553 151106 302212 377765 604424 755530 1208848 1511060 2417696 3022120 6044240 12088480