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120642804 = 22331676689
BaseRepresentation
bin1110011000011…
…01110011110100
322102000021211000
413030031303310
5221341032204
615545443300
72663306202
oct714156364
9272007730
10120642804
11621107a7
12344a0530
131bcc0699
1412046072
15a8d1039
hex730dcf4

120642804 has 48 divisors (see below), whose sum is σ = 314697600. Its totient is φ = 39967488.

The previous prime is 120642803. The next prime is 120642817. The reversal of 120642804 is 408246021.

120642804 is a `hidden beast` number, since 12 + 0 + 642 + 8 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120642803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14692 + ... + 21380.

It is an arithmetic number, because the mean of its divisors is an integer number (6556200).

Almost surely, 2120642804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120642804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157348800).

120642804 is an abundant number, since it is smaller than the sum of its proper divisors (194054796).

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

120642804 is a wasteful number, since it uses less digits than its factorization.

120642804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6869 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 120642804 is about 10983.7518180265. The cubic root of 120642804 is about 494.1215641646.

Adding to 120642804 its reverse (408246021), we get a palindrome (528888825).

The spelling of 120642804 in words is "one hundred twenty million, six hundred forty-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 167 334 501 668 1002 1503 2004 3006 4509 6012 6689 9018 13378 18036 20067 26756 40134 60201 80268 120402 180603 240804 361206 722412 1117063 2234126 3351189 4468252 6702378 10053567 13404756 20107134 30160701 40214268 60321402 120642804