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1357257330 = 2335111335153
BaseRepresentation
bin101000011100110…
…0001101001110010
310111120220211001000
41100321201221302
510234424213310
6342402422430
745430332312
oct12071415162
93446824030
101357257330
11637155580
1231a661a16
13188264760
14cc387442
157e2504c0
hex50e61a72

1357257330 has 128 divisors (see below), whose sum is σ = 4252227840. Its totient is φ = 303713280.

The previous prime is 1357257313. The next prime is 1357257331. The reversal of 1357257330 is 337527531.

1357257330 is a `hidden beast` number, since 1 + 3 + 57 + 2 + 573 + 30 = 666.

It is not an unprimeable number, because it can be changed into a prime (1357257331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21034 + ... + 56186.

It is an arithmetic number, because the mean of its divisors is an integer number (33220530).

Almost surely, 21357257330 is an apocalyptic number.

1357257330 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 1357257330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126113920).

1357257330 is an abundant number, since it is smaller than the sum of its proper divisors (2894970510).

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

1357257330 is a wasteful number, since it uses less digits than its factorization.

1357257330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35193 (or 35187 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

The square root of 1357257330 is about 36840.9735213390. The cubic root of 1357257330 is about 1107.1863729509.

The spelling of 1357257330 in words is "one billion, three hundred fifty-seven million, two hundred fifty-seven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 90 99 110 117 130 135 143 165 195 198 234 270 286 297 330 351 390 429 495 585 594 702 715 858 990 1170 1287 1430 1485 1755 2145 2574 2970 3510 3861 4290 6435 7722 12870 19305 35153 38610 70306 105459 175765 210918 316377 351530 386683 456989 527295 632754 773366 913978 949131 1054590 1160049 1370967 1581885 1898262 1933415 2284945 2320098 2741934 3163770 3480147 3866830 4112901 4569890 4745655 5026879 5800245 6854835 6960294 8225802 9491310 10053758 10440441 11600490 12338703 13709670 15080637 17400735 20564505 20880882 24677406 25134395 30161274 34801470 41129010 45241911 50268790 52202205 61693515 75403185 90483822 104404410 123387030 135725733 150806370 226209555 271451466 452419110 678628665 1357257330