Search a number
-
+
146790432 = 2532509689
BaseRepresentation
bin10001011111111…
…01100000100000
3101020012201121200
420233331200200
5300034243212
622322121200
73431461305
oct1057754040
9336181550
10146790432
117594a908
12411b0200
1324547059
14156d10ac
15cd486dc
hex8bfd820

146790432 has 36 divisors (see below), whose sum is σ = 417436110. Its totient is φ = 48930048.

The previous prime is 146790421. The next prime is 146790451. The reversal of 146790432 is 234097641.

It can be written as a sum of positive squares in only one way, i.e., 146023056 + 767376 = 12084^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 254557 + ... + 255132.

Almost surely, 2146790432 is an apocalyptic number.

146790432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146790432 is an abundant number, since it is smaller than the sum of its proper divisors (270645678).

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

146790432 is a wasteful number, since it uses less digits than its factorization.

146790432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509705 (or 509694 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 146790432 is about 12115.7101318907. The cubic root of 146790432 is about 527.5122906924.

The spelling of 146790432 in words is "one hundred forty-six million, seven hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 509689 1019378 1529067 2038756 3058134 4077512 4587201 6116268 8155024 9174402 12232536 16310048 18348804 24465072 36697608 48930144 73395216 146790432