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1360240272 = 243241230393
BaseRepresentation
bin101000100010011…
…1001111010010000
310111210112100212100
41101010321322100
510241210142042
6342550400400
745464565036
oct12104717220
93453470770
101360240272
11638902716
1231b660100
13188a6a401
14cc922556
157e63e24c
hex51139e90

1360240272 has 60 divisors (see below), whose sum is σ = 3899648844. Its totient is φ = 442352640.

The previous prime is 1360240243. The next prime is 1360240279. The reversal of 1360240272 is 2720420631.

1360240272 is a `hidden beast` number, since 13 + 602 + 40 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104530176 + 1255710096 = 10224^2 + 35436^2 .

It is not an unprimeable number, because it can be changed into a prime (1360240279) 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 11 ways as a sum of consecutive naturals, for example, 109293 + ... + 121100.

Almost surely, 21360240272 is an apocalyptic number.

1360240272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1360240272 is an abundant number, since it is smaller than the sum of its proper divisors (2539408572).

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

1360240272 is a wasteful number, since it uses less digits than its factorization.

1360240272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230448 (or 230439 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1360240272 is about 36881.4353299868. The cubic root of 1360240272 is about 1107.9968938211.

The spelling of 1360240272 in words is "one billion, three hundred sixty million, two hundred forty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 230393 460786 691179 921572 1382358 1843144 2073537 2764716 3686288 4147074 5529432 8294148 9446113 11058864 16588296 18892226 28338339 33176592 37784452 56676678 75568904 85015017 113353356 151137808 170030034 226706712 340060068 453413424 680120136 1360240272