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15040132328 = 23131921136073
BaseRepresentation
bin11100000000111011…
…00011010011101000
31102211011122212220002
432000131203103220
5221300233213303
610524230122132
71041465005204
oct160035432350
942734585802
1015040132328
116418843031
122ab8ab0348
131558c5abb0
14a296adb04
155d05e0788
hex3807634e8

15040132328 has 64 divisors (see below), whose sum is σ = 32120289600. Its totient is φ = 6544903680.

The previous prime is 15040132277. The next prime is 15040132357. The reversal of 15040132328 is 82323104051.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 15040132328.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398900 + ... + 434972.

It is an arithmetic number, because the mean of its divisors is an integer number (501879525).

Almost surely, 215040132328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15040132328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16060144800).

15040132328 is an abundant number, since it is smaller than the sum of its proper divisors (17080157272).

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

15040132328 is a wasteful number, since it uses less digits than its factorization.

15040132328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36322 (or 36318 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 15040132328 its reverse (82323104051), we get a palindrome (97363236379).

The spelling of 15040132328 in words is "fifteen billion, forty million, one hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 211 247 422 494 844 988 1688 1976 2743 4009 5486 8018 10972 16036 21944 32072 36073 52117 72146 104234 144292 208468 288584 416936 468949 685387 937898 1370774 1875796 2741548 3751592 5483096 7611403 8910031 15222806 17820062 30445612 35640124 60891224 71280248 98948239 144616657 197896478 289233314 395792956 578466628 791585912 1156933256 1880016541 3760033082 7520066164 15040132328