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1379096640 = 26325478853
BaseRepresentation
bin101001000110011…
…0101100001000000
310120010000100221100
41102030311201000
510311022043030
6344502454400
746114061625
oct12214654100
93503010840
101379096640
11648511799
12325a34400
1318c94011c
14d123034c
1581116360
hex52335840

1379096640 has 84 divisors (see below), whose sum is σ = 4743527724. Its totient is φ = 367758336.

The previous prime is 1379096617. The next prime is 1379096647. The reversal of 1379096640 is 466909731.

It can be written as a sum of positive squares in 2 ways, for example, as 343286784 + 1035809856 = 18528^2 + 32184^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1379096647) 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 11 ways as a sum of consecutive naturals, for example, 236547 + ... + 242306.

Almost surely, 21379096640 is an apocalyptic number.

1379096640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1379096640 is an abundant number, since it is smaller than the sum of its proper divisors (3364431084).

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

1379096640 is a wasteful number, since it uses less digits than its factorization.

1379096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478876 (or 478863 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1379096640 is about 37136.1904346690. The cubic root of 1379096640 is about 1113.0932952892.

The spelling of 1379096640 in words is "one billion, three hundred seventy-nine million, ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 478853 957706 1436559 1915412 2394265 2873118 3830824 4309677 4788530 5746236 7182795 7661648 8619354 9577060 11492472 14365590 15323296 17238708 19154120 21548385 22984944 28731180 30646592 34477416 38308240 43096770 45969888 57462360 68954832 76616480 86193540 91939776 114924720 137909664 153232960 172387080 229849440 275819328 344774160 459698880 689548320 1379096640