Search a number
-
+
64374120 = 23325178817
BaseRepresentation
bin1111010110010…
…0010101101000
311111010112200200
43311210111220
5112434432440
610215432200
71411112436
oct365442550
9144115620
1064374120
1133379258
1219685660
131044bbc5
148799d56
1559b8c30
hex3d64568

64374120 has 48 divisors (see below), whose sum is σ = 209217060. Its totient is φ = 17166336.

The previous prime is 64374119. The next prime is 64374127. The reversal of 64374120 is 2147346.

64374120 is a `hidden beast` number, since 643 + 7 + 4 + 12 + 0 = 666.

64374120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 54375876 + 9998244 = 7374^2 + 3162^2 .

It is not an unprimeable number, because it can be changed into a prime (64374127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 89049 + ... + 89768.

Almost surely, 264374120 is an apocalyptic number.

64374120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64374120 is an abundant number, since it is smaller than the sum of its proper divisors (144842940).

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

64374120 is a wasteful number, since it uses less digits than its factorization.

64374120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178834 (or 178827 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 64374120 is about 8023.3484281813. The cubic root of 64374120 is about 400.7779028538. Note that the first 3 decimals are identical.

The spelling of 64374120 in words is "sixty-four million, three hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 178817 357634 536451 715268 894085 1072902 1430536 1609353 1788170 2145804 2682255 3218706 3576340 4291608 5364510 6437412 7152680 8046765 10729020 12874824 16093530 21458040 32187060 64374120