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15130152 = 233543181
BaseRepresentation
bin111001101101…
…111000101000
31001110200200000
4321231320220
512333131102
61300143000
7242414142
oct71557050
931420600
1015130152
1185a4564
125097a60
13319996b
14201bc92
1514dd01c
hexe6de28

15130152 has 96 divisors (see below), whose sum is σ = 43723680. Its totient is φ = 4898880.

The previous prime is 15130133. The next prime is 15130163. The reversal of 15130152 is 25103151.

15130152 is a `hidden beast` number, since 1 + 513 + 0 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83502 + ... + 83682.

It is an arithmetic number, because the mean of its divisors is an integer number (455455).

Almost surely, 215130152 is an apocalyptic number.

15130152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15130152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21861840).

15130152 is an abundant number, since it is smaller than the sum of its proper divisors (28593528).

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

15130152 is a wasteful number, since it uses less digits than its factorization.

15130152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 15130152 is about 3889.7496063371. The cubic root of 15130152 is about 247.3324485809.

It can be divided in two parts, 151 and 30152, that added together give a palindrome (30303).

The spelling of 15130152 in words is "fifteen million, one hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 181 216 243 258 324 344 362 387 486 516 543 648 724 774 972 1032 1086 1161 1448 1548 1629 1944 2172 2322 3096 3258 3483 4344 4644 4887 6516 6966 7783 9288 9774 10449 13032 13932 14661 15566 19548 20898 23349 27864 29322 31132 39096 41796 43983 46698 58644 62264 70047 83592 87966 93396 117288 140094 175932 186792 210141 280188 351864 420282 560376 630423 840564 1260846 1681128 1891269 2521692 3782538 5043384 7565076 15130152