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146328516 = 22324064681
BaseRepresentation
bin10001011100011…
…00101111000100
3101012100020222200
420232030233010
5244430003031
622304154500
73424525515
oct1056145704
9335306880
10146328516
1175664864
1241008a30
1324414a29
1415610a0c
15cca68e6
hex8b8cbc4

146328516 has 18 divisors (see below), whose sum is σ = 369886062. Its totient is φ = 48776160.

The previous prime is 146328499. The next prime is 146328521. The reversal of 146328516 is 615823641.

It is a happy number.

146328516 is a `hidden beast` number, since 1 + 4 + 632 + 8 + 5 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85488516 + 60840000 = 9246^2 + 7800^2 .

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: 4064681 = 146328516 / (1 + 4 + 6 + 3 + 2 + 8 + 5 + 1 + 6).

It is an unprimeable number.

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, 2032305 + ... + 2032376.

Almost surely, 2146328516 is an apocalyptic number.

It is an amenable number.

146328516 is an abundant number, since it is smaller than the sum of its proper divisors (223557546).

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

146328516 is a wasteful number, since it uses less digits than its factorization.

146328516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064691 (or 4064686 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 146328516 is about 12096.6324239435. The cubic root of 146328516 is about 526.9583890082.

The spelling of 146328516 in words is "one hundred forty-six million, three hundred twenty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 4064681 8129362 12194043 16258724 24388086 36582129 48776172 73164258 146328516