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1358340560 = 245109155773
BaseRepresentation
bin101000011110110…
…1010000111010000
310111122221211221122
41100331222013100
510240213344220
6342441541412
745442463363
oct12075520720
93448854848
101358340560
11637825405
1231aaa4868
13188553815
14cc58a0da
157e3b6425
hex50f6a1d0

1358340560 has 40 divisors (see below), whose sum is σ = 3187136040. Its totient is φ = 538348032.

The previous prime is 1358340553. The next prime is 1358340587. The reversal of 1358340560 is 650438531.

It can be written as a sum of positive squares in 4 ways, for example, as 113379904 + 1244960656 = 10648^2 + 35284^2 .

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

It is a super-2 number, since 2×13583405602 = 3690178153882227200, 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 1358340560.

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, 69167 + ... + 86606.

It is an arithmetic number, because the mean of its divisors is an integer number (79678401).

Almost surely, 21358340560 is an apocalyptic number.

1358340560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1358340560 is an abundant number, since it is smaller than the sum of its proper divisors (1828795480).

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

1358340560 is a wasteful number, since it uses less digits than its factorization.

1358340560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155895 (or 155889 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 1358340560 is about 36855.6720193785. The cubic root of 1358340560 is about 1107.4808439023.

The spelling of 1358340560 in words is "one billion, three hundred fifty-eight million, three hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 155773 311546 623092 778865 1246184 1557730 2492368 3115460 6230920 12461840 16979257 33958514 67917028 84896285 135834056 169792570 271668112 339585140 679170280 1358340560