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1357227585 = 325723316043
BaseRepresentation
bin101000011100101…
…1010011001000001
310111120212022020100
41100321122121001
510234422240320
6342402033013
745430146510
oct12071323101
93446768210
101357227585
1163713519a
1231a648769
1318825405c
14cc37a677
157e246790
hex50e5a641

1357227585 has 96 divisors (see below), whose sum is σ = 2896478208. Its totient is φ = 574231680.

The previous prime is 1357227581. The next prime is 1357227593. The reversal of 1357227585 is 5857227531.

1357227585 is a `hidden beast` number, since 1 + 3 + 572 + 2 + 75 + 8 + 5 = 666.

It is not a de Polignac number, because 1357227585 - 22 = 1357227581 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1357227585.

It is not an unprimeable number, because it can be changed into a prime (1357227581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221574 + ... + 227616.

It is an arithmetic number, because the mean of its divisors is an integer number (30171648).

Almost surely, 21357227585 is an apocalyptic number.

1357227585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1357227585 is an abundant number, since it is smaller than the sum of its proper divisors (1539250623).

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

1357227585 is a wasteful number, since it uses less digits than its factorization.

1357227585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115 (or 6112 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 1357227585 is about 36840.5698245833. The cubic root of 1357227585 is about 1107.1782847035.

The spelling of 1357227585 in words is "one billion, three hundred fifty-seven million, two hundred twenty-seven thousand, five hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 23 31 35 45 63 69 93 105 115 155 161 207 217 279 315 345 465 483 651 713 805 1035 1085 1395 1449 1953 2139 2415 3255 3565 4991 6043 6417 7245 9765 10695 14973 18129 24955 30215 32085 42301 44919 54387 74865 90645 126903 138989 187333 211505 224595 271935 380709 416967 561999 634515 694945 936665 972923 1250901 1311331 1685997 1903545 2084835 2809995 2918769 3933993 4308659 4864615 6254505 6556655 8429985 8756307 11801979 12925977 14593845 19669965 21543295 30160613 38777931 43781535 59009895 64629885 90481839 150803065 193889655 271445517 452409195 1357227585