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1352965640 = 235132601857
BaseRepresentation
bin101000010100100…
…1001111000001000
310111021211202221112
41100221021320020
510232324400030
6342130425452
745346006145
oct12051117010
93437752845
101352965640
11634794124
12319132288
131873c11b0
14cb98b3cc
157dba3a95
hex50a49e08

1352965640 has 32 divisors (see below), whose sum is σ = 3278341080. Its totient is φ = 499556352.

The previous prime is 1352965637. The next prime is 1352965651. The reversal of 1352965640 is 465692531.

It can be written as a sum of positive squares in 4 ways, for example, as 902762116 + 450203524 = 30046^2 + 21218^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1300409 + ... + 1301448.

Almost surely, 21352965640 is an apocalyptic number.

1352965640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1352965640 is an abundant number, since it is smaller than the sum of its proper divisors (1925375440).

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

1352965640 is a wasteful number, since it uses less digits than its factorization.

1352965640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601881 (or 2601877 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The square root of 1352965640 is about 36782.6812508278. The cubic root of 1352965640 is about 1106.0181548250.

The spelling of 1352965640 in words is "one billion, three hundred fifty-two million, nine hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2601857 5203714 10407428 13009285 20814856 26018570 33824141 52037140 67648282 104074280 135296564 169120705 270593128 338241410 676482820 1352965640