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152998470 = 23451741271
BaseRepresentation
bin10010001111010…
…01001001000110
3101122220010110000
421013221021012
5303131422340
623103142130
73535315452
oct1107511106
9348803400
10152998470
1179400019
12432a4946
132590b951
1416469662
15d672d30
hex91e9246

152998470 has 160 divisors (see below), whose sum is σ = 447866496. Its totient is φ = 37324800.

The previous prime is 152998463. The next prime is 152998471. The reversal of 152998470 is 74899251.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152998471) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 564435 + ... + 564705.

Almost surely, 2152998470 is an apocalyptic number.

152998470 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 152998470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223933248).

152998470 is an abundant number, since it is smaller than the sum of its proper divisors (294868026).

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

152998470 is a wasteful number, since it uses less digits than its factorization.

152998470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 152998470 is about 12369.2550301140. The cubic root of 152998470 is about 534.8463412909.

It can be divided in two parts, 1529 and 98470, that added together give a palindrome (99999).

The spelling of 152998470 in words is "one hundred fifty-two million, nine hundred ninety-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 41 45 51 54 81 82 85 90 102 123 135 153 162 170 205 246 255 270 271 306 369 405 410 459 510 542 615 697 738 765 810 813 918 1107 1230 1355 1377 1394 1530 1626 1845 2091 2214 2295 2439 2710 2754 3321 3485 3690 4065 4182 4590 4607 4878 5535 6273 6642 6885 6970 7317 8130 9214 10455 11070 11111 12195 12546 13770 13821 14634 16605 18819 20910 21951 22222 23035 24390 27642 31365 33210 33333 36585 37638 41463 43902 46070 55555 56457 62730 66666 69105 73170 82926 94095 99999 109755 111110 112914 124389 138210 166665 188190 188887 199998 207315 219510 248778 282285 299997 333330 373167 377774 414630 499995 564570 566661 599994 621945 746334 899991 944435 999990 1133322 1243890 1499985 1699983 1799982 1865835 1888870 2833305 2999970 3399966 3731670 4499955 5099949 5666610 8499915 8999910 10199898 15299847 16999830 25499745 30599694 50999490 76499235 152998470