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15097381 = 131923217
BaseRepresentation
bin111001100101…
…111000100101
31001102000201021
4321211320211
512331104011
61255331141
7242216455
oct71457045
931360637
1015097381
118581982
125080ab1
133187a80
14200dd65
1514d3471
hexe65e25

15097381 has 12 divisors (see below), whose sum is σ = 17164812. Its totient is φ = 13198464.

The previous prime is 15097367. The next prime is 15097393. The reversal of 15097381 is 18379051.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8122500 + 6974881 = 2850^2 + 2641^2 .

It is not a de Polignac number, because 15097381 - 27 = 15097253 is a prime.

It is a super-2 number, since 2×150973812 = 455861826118322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15097321) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3085 + ... + 6301.

It is an arithmetic number, because the mean of its divisors is an integer number (1430401).

Almost surely, 215097381 is an apocalyptic number.

It is an amenable number.

15097381 is a deficient number, since it is larger than the sum of its proper divisors (2067431).

15097381 is a wasteful number, since it uses less digits than its factorization.

15097381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 15097381 is about 3885.5348409196. The cubic root of 15097381 is about 247.1537504287.

The spelling of 15097381 in words is "fifteen million, ninety-seven thousand, three hundred eighty-one".

Divisors: 1 13 19 247 361 3217 4693 41821 61123 794599 1161337 15097381