Search a number
-
+
66195432 = 2332919381
BaseRepresentation
bin1111110010000…
…0111111101000
311121120002001200
43330200333220
5113421223212
610322444200
71432436412
oct374407750
9147502050
1066195432
1134402676
121a203660
1310938bc4
148b119b2
155c286dc
hex3f20fe8

66195432 has 24 divisors (see below), whose sum is σ = 179279490. Its totient is φ = 22065120.

The previous prime is 66195413. The next prime is 66195457. The reversal of 66195432 is 23459166.

It is a happy number.

66195432 is a `hidden beast` number, since 6 + 619 + 5 + 4 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59814756 + 6380676 = 7734^2 + 2526^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 459619 + ... + 459762.

Almost surely, 266195432 is an apocalyptic number.

It is an amenable number.

66195432 is an abundant number, since it is smaller than the sum of its proper divisors (113084058).

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

66195432 is a wasteful number, since it uses less digits than its factorization.

66195432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919393 (or 919386 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 66195432 is about 8136.0575219206. The cubic root of 66195432 is about 404.5224916356.

The spelling of 66195432 in words is "sixty-six million, one hundred ninety-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 919381 1838762 2758143 3677524 5516286 7355048 8274429 11032572 16548858 22065144 33097716 66195432