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15131480 = 2357134157
BaseRepresentation
bin111001101110…
…001101011000
31001110202111012
4321232031120
512333201410
61300153052
7242421050
oct71561530
931422435
1015131480
1185a5561
125098788
13319a450
14201c560
1514dd605
hexe6e358

15131480 has 64 divisors (see below), whose sum is σ = 41912640. Its totient is φ = 4787712.

The previous prime is 15131471. The next prime is 15131497. The reversal of 15131480 is 8413151.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1562 + ... + 5718.

It is an arithmetic number, because the mean of its divisors is an integer number (654885).

Almost surely, 215131480 is an apocalyptic number.

15131480 is a gapful number since it is divisible by the number (10) 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 15131480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20956320).

15131480 is an abundant number, since it is smaller than the sum of its proper divisors (26781160).

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

15131480 is a wasteful number, since it uses less digits than its factorization.

15131480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 15131480 is about 3889.9203076670. The cubic root of 15131480 is about 247.3396846369.

The spelling of 15131480 in words is "fifteen million, one hundred thirty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 4157 8314 16628 20785 29099 33256 41570 54041 58198 83140 108082 116396 145495 166280 216164 232792 270205 290990 378287 432328 540410 581980 756574 1080820 1163960 1513148 1891435 2161640 3026296 3782870 7565740 15131480