Search a number
-
+
120432641 = 7217144577
BaseRepresentation
bin1110010110110…
…10100000000001
322101121121112012
413023122200001
5221312321031
615541142305
72661442400
oct713324001
9271547465
10120432641
1161a8790a
12343ba995
131bc48b24
1411dcd637
15a88db2b
hex72da801

120432641 has 12 divisors (see below), whose sum is σ = 148337028. Its totient is φ = 97155072.

The previous prime is 120432619. The next prime is 120432643. The reversal of 120432641 is 146234021.

It can be written as a sum of positive squares in 2 ways, for example, as 58967041 + 61465600 = 7679^2 + 7840^2 .

It is a de Polignac number, because none of the positive numbers 2k-120432641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120432643) 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 11 ways as a sum of consecutive naturals, for example, 71456 + ... + 73121.

It is an arithmetic number, because the mean of its divisors is an integer number (12361419).

Almost surely, 2120432641 is an apocalyptic number.

It is an amenable number.

120432641 is a deficient number, since it is larger than the sum of its proper divisors (27904387).

120432641 is a wasteful number, since it uses less digits than its factorization.

120432641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144608 (or 144601 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 120432641 is about 10974.1806527868. The cubic root of 120432641 is about 493.8344730545.

Adding to 120432641 its reverse (146234021), we get a palindrome (266666662).

The spelling of 120432641 in words is "one hundred twenty million, four hundred thirty-two thousand, six hundred forty-one".

Divisors: 1 7 17 49 119 833 144577 1012039 2457809 7084273 17204663 120432641