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1350236640 = 25352812993
BaseRepresentation
bin101000001111010…
…1111100111100000
310111002201010110110
41100132233213200
510231130033030
6341552131320
745313551654
oct12036574740
93432633413
101350236640
1163319a855
12318236b40
13186976cbc
14cb47aa64
157d8151b0
hex507af9e0

1350236640 has 48 divisors (see below), whose sum is σ = 4253246928. Its totient is φ = 360062976.

The previous prime is 1350236627. The next prime is 1350236681. The reversal of 1350236640 is 466320531.

1350236640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1350236598 and 1350236607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1406017 + ... + 1406976.

It is an arithmetic number, because the mean of its divisors is an integer number (88609311).

Almost surely, 21350236640 is an apocalyptic number.

1350236640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1350236640 is an abundant number, since it is smaller than the sum of its proper divisors (2903010288).

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

1350236640 is a wasteful number, since it uses less digits than its factorization.

1350236640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813011 (or 2813003 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 1350236640 is about 36745.5662631562. The cubic root of 1350236640 is about 1105.2740227981.

The spelling of 1350236640 in words is "one billion, three hundred fifty million, two hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2812993 5625986 8438979 11251972 14064965 16877958 22503944 28129930 33755916 42194895 45007888 56259860 67511832 84389790 90015776 112519720 135023664 168779580 225039440 270047328 337559160 450078880 675118320 1350236640