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1357405205 = 513174332837
BaseRepresentation
bin101000011101000…
…0101110000010101
310111121012022212212
41100322011300111
510234443431310
6342405523205
745431516402
oct12072056025
93447168785
101357405205
11637246692
1231a713505
131882b6b60
14cc3c52a9
157e27e205
hex50e85c15

1357405205 has 32 divisors (see below), whose sum is σ = 1862318304. Its totient is φ = 940916736.

The previous prime is 1357405169. The next prime is 1357405213. The reversal of 1357405205 is 5025047531.

It can be written as a sum of positive squares in 16 ways, for example, as 1001026321 + 356378884 = 31639^2 + 18878^2 .

It is a cyclic number.

It is not a de Polignac number, because 1357405205 - 214 = 1357388821 is a prime.

It is a super-2 number, since 2×13574052052 = 3685097781122184050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 477047 + ... + 479883.

It is an arithmetic number, because the mean of its divisors is an integer number (58197447).

Almost surely, 21357405205 is an apocalyptic number.

It is an amenable number.

1357405205 is a deficient number, since it is larger than the sum of its proper divisors (504913099).

1357405205 is a wasteful number, since it uses less digits than its factorization.

1357405205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305.

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 1357405205 is about 36842.9804033279. The cubic root of 1357405205 is about 1107.2265813024.

The spelling of 1357405205 in words is "one billion, three hundred fifty-seven million, four hundred five thousand, two hundred five".

Divisors: 1 5 13 17 65 85 221 433 1105 2165 2837 5629 7361 14185 28145 36805 36881 48229 95693 184405 241145 478465 626977 1228421 3134885 6142105 15969473 20883157 79847365 104415785 271481041 1357405205