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15000138 = 2321734817
BaseRepresentation
bin111001001110…
…001001001010
31001020002022200
4321032021022
512320001023
61253301030
7241333116
oct71161112
931202280
1015000138
11851590a
125034776
13315272a
141dc6746
1514b4743
hexe4e24a

15000138 has 24 divisors (see below), whose sum is σ = 32694948. Its totient is φ = 4970112.

The previous prime is 15000131. The next prime is 15000151. The reversal of 15000138 is 83100051.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15000129 + 9 = 3873^2 + 3^2 .

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 15000138.

It is not an unprimeable number, because it can be changed into a prime (15000131) by changing a digit.

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, 706 + ... + 5522.

Almost surely, 215000138 is an apocalyptic number.

15000138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

15000138 is an abundant number, since it is smaller than the sum of its proper divisors (17694810).

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

15000138 is a wasteful number, since it uses less digits than its factorization.

15000138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 15000138 is about 3873.0011618898. The cubic root of 15000138 is about 246.6219637358.

Adding to 15000138 its reverse (83100051), we get a palindrome (98100189).

The spelling of 15000138 in words is "fifteen million, one hundred thirty-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 173 346 519 1038 1557 3114 4817 9634 14451 28902 43353 86706 833341 1666682 2500023 5000046 7500069 15000138