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1361259440 = 24531154713
BaseRepresentation
bin101000100100011…
…0010101110110000
310111212110010220022
41101020302232300
510241440300230
6343024303012
745506341262
oct12110625660
93455403808
101361259440
11639439402
1231ba71a68
13189036278
14ccb09b32
157e7911e5
hex51232bb0

1361259440 has 40 divisors (see below), whose sum is σ = 3175162848. Its totient is φ = 542743040.

The previous prime is 1361259437. The next prime is 1361259451. The reversal of 1361259440 is 449521631.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13612594402 = 3706054525978227200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1361259440.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2477 + ... + 52236.

Almost surely, 21361259440 is an apocalyptic number.

1361259440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1361259440 is an abundant number, since it is smaller than the sum of its proper divisors (1813903408).

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

1361259440 is a wasteful number, since it uses less digits than its factorization.

1361259440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55037 (or 55031 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 1361259440 is about 36895.2495587169. The cubic root of 1361259440 is about 1108.2735491273.

The spelling of 1361259440 in words is "one billion, three hundred sixty-one million, two hundred fifty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 311 622 1244 1555 2488 3110 4976 6220 12440 24880 54713 109426 218852 273565 437704 547130 875408 1094260 2188520 4377040 17015743 34031486 68062972 85078715 136125944 170157430 272251888 340314860 680629720 1361259440