Search a number
-
+
1357107642 = 2331119120247
BaseRepresentation
bin101000011100011…
…1101000110111010
310111120122012201000
41100320331012322
510234404421032
6342355305430
745426140022
oct12070750672
93446565630
101357107642
11637063070
1231a5ab276
13188211597
14cc348a82
157e220e7c
hex50e3d1ba

1357107642 has 64 divisors (see below), whose sum is σ = 3463142400. Its totient is φ = 389597040.

The previous prime is 1357107611. The next prime is 1357107659. The reversal of 1357107642 is 2467017531.

It is a happy number.

1357107642 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 1 + 0 + 7 + 642 = 666.

1357107642 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1357107597 and 1357107606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48838 + ... + 71409.

It is an arithmetic number, because the mean of its divisors is an integer number (54111600).

Almost surely, 21357107642 is an apocalyptic number.

1357107642 is an abundant number, since it is smaller than the sum of its proper divisors (2106034758).

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

1357107642 is a wasteful number, since it uses less digits than its factorization.

1357107642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120288 (or 120282 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1357107642 is about 36838.9419229163. The cubic root of 1357107642 is about 1107.1456686563.

The spelling of 1357107642 in words is "one billion, three hundred fifty-seven million, one hundred seven thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3762 5643 11286 120247 240494 360741 721482 1082223 1322717 2164446 2284693 2645434 3246669 3968151 4569386 6493338 6854079 7936302 11904453 13708158 20562237 23808906 25131623 35713359 41124474 50263246 61686711 71426718 75394869 123373422 150789738 226184607 452369214 678553821 1357107642