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149271570 = 23257415779
BaseRepresentation
bin10001110010110…
…11010000010010
3101101212210002200
420321123100102
5301203142240
622451224030
73461534040
oct1071332022
9341783080
10149271570
1177294a38
1241ba8016
1324c05496
1415b79390
15d188930
hex8e5b412

149271570 has 96 divisors (see below), whose sum is σ = 454446720. Its totient is φ = 33281280.

The previous prime is 149271559. The next prime is 149271571. The reversal of 149271570 is 75172941.

It is a happy number.

149271570 is a `hidden beast` number, since 14 + 9 + 2 + 71 + 570 = 666.

It is a super-2 number, since 2×1492715702 = 44564003220529800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (149271571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22941 + ... + 28719.

It is an arithmetic number, because the mean of its divisors is an integer number (4733820).

Almost surely, 2149271570 is an apocalyptic number.

149271570 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 149271570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227223360).

149271570 is an abundant number, since it is smaller than the sum of its proper divisors (305175150).

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

149271570 is a wasteful number, since it uses less digits than its factorization.

149271570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5840 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 149271570 is about 12217.6744923083. The cubic root of 149271570 is about 530.4678081582.

The spelling of 149271570 in words is "one hundred forty-nine million, two hundred seventy-one thousand, five hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 63 70 82 90 105 123 126 205 210 246 287 315 369 410 574 615 630 738 861 1230 1435 1722 1845 2583 2870 3690 4305 5166 5779 8610 11558 12915 17337 25830 28895 34674 40453 52011 57790 80906 86685 104022 121359 173370 202265 236939 242718 260055 364077 404530 473878 520110 606795 710817 728154 1184695 1213590 1421634 1658573 1820385 2132451 2369390 3317146 3554085 3640770 4264902 4975719 7108170 8292865 9951438 10662255 14927157 16585730 21324510 24878595 29854314 49757190 74635785 149271570