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1357580070 = 232571131619
BaseRepresentation
bin101000011101011…
…0000011100100110
310111121112012202100
41100322300130212
510240020030240
6342413352530
745433145250
oct12072603446
93447465670
101357580070
11637356000
1231a798746
13188348622
14cc42ccd0
157e2b5e30
hex50eb0726

1357580070 has 192 divisors, whose sum is σ = 4439784960. Its totient is φ = 281920320.

The previous prime is 1357580023. The next prime is 1357580111. The reversal of 1357580070 is 700857531.

1357580070 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 580 + 0 + 70 = 666.

It is a super-2 number, since 2×13575800702 = 3686047292922409800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 837721 + ... + 839339.

It is an arithmetic number, because the mean of its divisors is an integer number (23123880).

Almost surely, 21357580070 is an apocalyptic number.

1357580070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1357580070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219892480).

1357580070 is an abundant number, since it is smaller than the sum of its proper divisors (3082204890).

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

1357580070 is a wasteful number, since it uses less digits than its factorization.

1357580070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 1357580070 is about 36845.3534383917. The cubic root of 1357580070 is about 1107.2741246746.

The spelling of 1357580070 in words is "one billion, three hundred fifty-seven million, five hundred eighty thousand, seventy".