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15138468 = 2233140171
BaseRepresentation
bin111001101111…
…111010100100
31001111010002000
4321233322210
512333412333
61300245300
7242450322
oct71577244
931433060
1015138468
1185aa834
1250a0830
1331a0697
142020d12
1514e0713
hexe6fea4

15138468 has 24 divisors (see below), whose sum is σ = 39248160. Its totient is φ = 5046120.

The previous prime is 15138463. The next prime is 15138523. The reversal of 15138468 is 86483151.

15138468 is a `hidden beast` number, since 1 + 513 + 84 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (15138463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69978 + ... + 70193.

It is an arithmetic number, because the mean of its divisors is an integer number (1635340).

Almost surely, 215138468 is an apocalyptic number.

15138468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

15138468 is an abundant number, since it is smaller than the sum of its proper divisors (24109692).

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

15138468 is a wasteful number, since it uses less digits than its factorization.

15138468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140184 (or 140176 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 15138468 is about 3890.8184229028. The cubic root of 15138468 is about 247.3777541387.

The spelling of 15138468 in words is "fifteen million, one hundred thirty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 140171 280342 420513 560684 841026 1261539 1682052 2523078 3784617 5046156 7569234 15138468