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15040980 = 2232583561
BaseRepresentation
bin111001011000…
…000111010100
31001022011100100
4321120013110
512322302410
61254214100
7241563153
oct71300724
931264310
1015040980
118543569
125054330
1331681b6
141dd759a
1514c18c0
hexe581d4

15040980 has 36 divisors (see below), whose sum is σ = 45624852. Its totient is φ = 4010880.

The previous prime is 15040979. The next prime is 15040999. The reversal of 15040980 is 8904051.

It can be written as a sum of positive squares in 2 ways, for example, as 3992004 + 11048976 = 1998^2 + 3324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41601 + ... + 41960.

It is an arithmetic number, because the mean of its divisors is an integer number (1267357).

Almost surely, 215040980 is an apocalyptic number.

15040980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15040980 is an abundant number, since it is smaller than the sum of its proper divisors (30583872).

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

15040980 is a wasteful number, since it uses less digits than its factorization.

15040980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83576 (or 83571 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 15040980 is about 3878.2702329776. The cubic root of 15040980 is about 246.8455929294.

The spelling of 15040980 in words is "fifteen million, forty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 83561 167122 250683 334244 417805 501366 752049 835610 1002732 1253415 1504098 1671220 2506830 3008196 3760245 5013660 7520490 15040980