Search a number
-
+
120580641 = 3280916561
BaseRepresentation
bin1110010111111…
…10101000100001
322101220010112200
413023332220201
5221332040031
615544243413
72662630026
oct713765041
9271803480
10120580641
1162079025
1234470569
131bc9b2bc
141202b54d
15a8bc8e6
hex72fea21

120580641 has 12 divisors (see below), whose sum is σ = 174397860. Its totient is φ = 80282880.

The previous prime is 120580639. The next prime is 120580661. The reversal of 120580641 is 146085021.

120580641 is a `hidden beast` number, since 1 + 20 + 580 + 64 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51624225 + 68956416 = 7185^2 + 8304^2 .

It is not a de Polignac number, because 120580641 - 21 = 120580639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120580661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1000 + ... + 15561.

It is an arithmetic number, because the mean of its divisors is an integer number (14533155).

Almost surely, 2120580641 is an apocalyptic number.

It is an amenable number.

120580641 is a deficient number, since it is larger than the sum of its proper divisors (53817219).

120580641 is a wasteful number, since it uses less digits than its factorization.

120580641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17376 (or 17373 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 120580641 is about 10980.9216826276. The cubic root of 120580641 is about 494.0366817544.

The spelling of 120580641 in words is "one hundred twenty million, five hundred eighty thousand, six hundred forty-one".

Divisors: 1 3 9 809 2427 7281 16561 49683 149049 13397849 40193547 120580641