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15120090 = 2325433907
BaseRepresentation
bin111001101011…
…011011011010
31001110011212100
4321223123122
512332320330
61300024230
7242342616
oct71533332
931404770
1015120090
118597a47
125092076
1331951cb
142018346
1514da060
hexe6b6da

15120090 has 48 divisors (see below), whose sum is σ = 40236768. Its totient is φ = 3937248.

The previous prime is 15120071. The next prime is 15120101. The reversal of 15120090 is 9002151.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1917 + ... + 5823.

It is an arithmetic number, because the mean of its divisors is an integer number (838266).

Almost surely, 215120090 is an apocalyptic number.

15120090 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 15120090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20118384).

15120090 is an abundant number, since it is smaller than the sum of its proper divisors (25116678).

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

15120090 is a wasteful number, since it uses less digits than its factorization.

15120090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 15120090 is about 3888.4559917787. The cubic root of 15120090 is about 247.2776086167.

The spelling of 15120090 in words is "fifteen million, one hundred twenty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 3907 7814 11721 19535 23442 35163 39070 58605 70326 117210 168001 175815 336002 351630 504003 840005 1008006 1512009 1680010 2520015 3024018 5040030 7560045 15120090