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15100146 = 232838897
BaseRepresentation
bin111001100110…
…100011110010
31001102011111200
4321212203302
512331201041
61255352030
7242230515
oct71464362
931364450
1015100146
118583a66
125082616
1331890c9
142010d7c
1514d41b6
hexe668f2

15100146 has 12 divisors (see below), whose sum is σ = 32717022. Its totient is φ = 5033376.

The previous prime is 15100133. The next prime is 15100147. The reversal of 15100146 is 64100151.

It can be written as a sum of positive squares in only one way, i.e., 14861025 + 239121 = 3855^2 + 489^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 838897 = 15100146 / (1 + 5 + 1 + 0 + 0 + 1 + 4 + 6).

It is not an unprimeable number, because it can be changed into a prime (15100147) 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 5 ways as a sum of consecutive naturals, for example, 419431 + ... + 419466.

Almost surely, 215100146 is an apocalyptic number.

15100146 is an abundant number, since it is smaller than the sum of its proper divisors (17616876).

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

15100146 is a wasteful number, since it uses less digits than its factorization.

15100146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838905 (or 838902 counting only the distinct ones).

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

The square root of 15100146 is about 3885.8906315026. The cubic root of 15100146 is about 247.1688377786.

Adding to 15100146 its reverse (64100151), we get a palindrome (79200297).

The spelling of 15100146 in words is "fifteen million, one hundred thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 838897 1677794 2516691 5033382 7550073 15100146