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120142632 = 23315113313
BaseRepresentation
bin1110010100100…
…11101100101000
322101001212201010
413022103230220
5221224031012
615531023520
72656124031
oct712235450
9271055633
10120142632
11618a9a35
123429aba0
131bb76b1c
1411d55a88
15a832c3c
hex7293b28

120142632 has 32 divisors (see below), whose sum is σ = 300646080. Its totient is φ = 40008960.

The previous prime is 120142619. The next prime is 120142637. The reversal of 120142632 is 236241021.

It is a junction number, because it is equal to n+sod(n) for n = 120142599 and 120142608.

It is not an unprimeable number, because it can be changed into a prime (120142637) 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 7 ways as a sum of consecutive naturals, for example, 34608 + ... + 37920.

It is an arithmetic number, because the mean of its divisors is an integer number (9395190).

Almost surely, 2120142632 is an apocalyptic number.

120142632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120142632 is an abundant number, since it is smaller than the sum of its proper divisors (180503448).

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

120142632 is a wasteful number, since it uses less digits than its factorization.

120142632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 120142632 is about 10960.9594470557. The cubic root of 120142632 is about 493.4377601355.

Adding to 120142632 its reverse (236241021), we get a palindrome (356383653).

The spelling of 120142632 in words is "one hundred twenty million, one hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 1511 3022 3313 4533 6044 6626 9066 9939 12088 13252 18132 19878 26504 36264 39756 79512 5005943 10011886 15017829 20023772 30035658 40047544 60071316 120142632