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153163530 = 2325131091201
BaseRepresentation
bin10010010000100…
…01011100001010
3101200012111212100
421020101130022
5303202213110
623110454230
73536603622
oct1110213412
9350174770
10153163530
1179503033
1243364376
1325968b10
14164ad882
15d6a6bc0
hex921170a

153163530 has 96 divisors (see below), whose sum is σ = 433152720. Its totient is φ = 37324800.

The previous prime is 153163511. The next prime is 153163561. The reversal of 153163530 is 35361351.

It can be written as a sum of positive squares in 8 ways, for example, as 9235521 + 143928009 = 3039^2 + 11997^2 .

It is a junction number, because it is equal to n+sod(n) for n = 153163494 and 153163503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126930 + ... + 128130.

Almost surely, 2153163530 is an apocalyptic number.

153163530 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 153163530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216576360).

153163530 is an abundant number, since it is smaller than the sum of its proper divisors (279989190).

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

153163530 is a wasteful number, since it uses less digits than its factorization.

153163530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 153163530 is about 12375.9254199434. The cubic root of 153163530 is about 535.0386090284.

The spelling of 153163530 in words is "one hundred fifty-three million, one hundred sixty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 109 117 130 195 218 234 327 390 545 585 654 981 1090 1170 1201 1417 1635 1962 2402 2834 3270 3603 4251 4905 6005 7085 7206 8502 9810 10809 12010 12753 14170 15613 18015 21255 21618 25506 31226 36030 42510 46839 54045 63765 78065 93678 108090 127530 130909 140517 156130 234195 261818 281034 392727 468390 654545 702585 785454 1178181 1309090 1405170 1701817 1963635 2356362 3403634 3927270 5105451 5890905 8509085 10210902 11781810 15316353 17018170 25527255 30632706 51054510 76581765 153163530