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120414632 = 23131157833
BaseRepresentation
bin1110010110101…
…10000110101000
322101120200211012
413023112012220
5221311232012
615540523052
72661336032
oct713260650
9271520735
10120414632
1161a75328
12343b0488
131bc40880
1411dc6c52
15a888622
hex72d61a8

120414632 has 16 divisors (see below), whose sum is σ = 243145140. Its totient is φ = 55575936.

The previous prime is 120414631. The next prime is 120414649. The reversal of 120414632 is 236414021.

It can be written as a sum of positive squares in 2 ways, for example, as 118940836 + 1473796 = 10906^2 + 1214^2 .

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 120414598 and 120414607.

It is not an unprimeable number, because it can be changed into a prime (120414631) 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 3 ways as a sum of consecutive naturals, for example, 578813 + ... + 579020.

Almost surely, 2120414632 is an apocalyptic number.

It is an amenable number.

120414632 is an abundant number, since it is smaller than the sum of its proper divisors (122730508).

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

120414632 is a wasteful number, since it uses less digits than its factorization.

120414632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157852 (or 1157848 counting only the distinct ones).

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

The square root of 120414632 is about 10973.3601052731. The cubic root of 120414632 is about 493.8098565046.

Adding to 120414632 its reverse (236414021), we get a palindrome (356828653).

The spelling of 120414632 in words is "one hundred twenty million, four hundred fourteen thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 1157833 2315666 4631332 9262664 15051829 30103658 60207316 120414632