Search a number
-
+
149615604 = 22324155989
BaseRepresentation
bin10001110101011…
…11001111110100
3101102112021000200
420322233033310
5301300144404
622502440500
73464466045
oct1072571764
9342467020
10149615604
11774aa466
1242133130
1324cc5c58
1415c288cc
15d205839
hex8eaf3f4

149615604 has 18 divisors (see below), whose sum is σ = 378195090. Its totient is φ = 49871856.

The previous prime is 149615573. The next prime is 149615629. The reversal of 149615604 is 406516941.

149615604 is a `hidden beast` number, since 1 + 4 + 96 + 1 + 560 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75690000 + 73925604 = 8700^2 + 8598^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4155989 = 149615604 / (1 + 4 + 9 + 6 + 1 + 5 + 6 + 0 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2077959 + ... + 2078030.

Almost surely, 2149615604 is an apocalyptic number.

It is an amenable number.

149615604 is an abundant number, since it is smaller than the sum of its proper divisors (228579486).

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

149615604 is a wasteful number, since it uses less digits than its factorization.

149615604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155999 (or 4155994 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 149615604 is about 12231.7457462130. The cubic root of 149615604 is about 530.8750277785.

The spelling of 149615604 in words is "one hundred forty-nine million, six hundred fifteen thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 4155989 8311978 12467967 16623956 24935934 37403901 49871868 74807802 149615604