Search a number
-
+
642437160 = 23355353643
BaseRepresentation
bin100110010010101…
…101000000101000
31122202212012002220
4212102231000220
52303430442120
6143425354040
721630424431
oct4622550050
91582765086
10642437160
112aa703602
1215b198920
13a3136841
1461472488
153b601b40
hex264ad028

642437160 has 32 divisors (see below), whose sum is σ = 1927311840. Its totient is φ = 171316544.

The previous prime is 642437113. The next prime is 642437167. The reversal of 642437160 is 61734246.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (642437167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2676702 + ... + 2676941.

It is an arithmetic number, because the mean of its divisors is an integer number (60228495).

Almost surely, 2642437160 is an apocalyptic number.

642437160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642437160 is an abundant number, since it is smaller than the sum of its proper divisors (1284874680).

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

642437160 is a wasteful number, since it uses less digits than its factorization.

642437160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5353657 (or 5353653 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 642437160 is about 25346.3441150790. The cubic root of 642437160 is about 862.8663866614.

The spelling of 642437160 in words is "six hundred forty-two million, four hundred thirty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 5353643 10707286 16060929 21414572 26768215 32121858 42829144 53536430 64243716 80304645 107072860 128487432 160609290 214145720 321218580 642437160