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15106890 = 235503563
BaseRepresentation
bin111001101000…
…001101001010
31001102111202110
4321220031022
512331410030
61255443150
7242256261
oct71501512
931374673
1015106890
118589037
1250864b6
13318c1b6
1420135d8
1514d61b0
hexe6834a

15106890 has 16 divisors (see below), whose sum is σ = 36256608. Its totient is φ = 4028496.

The previous prime is 15106859. The next prime is 15106921. The reversal of 15106890 is 9860151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (15106859) and next prime (15106921).

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 503563 = 15106890 / (1 + 5 + 1 + 0 + 6 + 8 + 9 + 0).

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 7 ways as a sum of consecutive naturals, for example, 251752 + ... + 251811.

It is an arithmetic number, because the mean of its divisors is an integer number (2266038).

Almost surely, 215106890 is an apocalyptic number.

15106890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15106890 is an abundant number, since it is smaller than the sum of its proper divisors (21149718).

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

15106890 is a wasteful number, since it uses less digits than its factorization.

15106890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503573.

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 15106890 is about 3886.7582893717. The cubic root of 15106890 is about 247.2056290022.

The spelling of 15106890 in words is "fifteen million, one hundred six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 503563 1007126 1510689 2517815 3021378 5035630 7553445 15106890