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120480804 = 22331497487
BaseRepresentation
bin1110010111001…
…10010000100100
322101201001121000
413023212100210
5221320341204
615542153300
72662032663
oct713462044
9271631530
10120480804
1162010014
1234422830
131bc64a22
1412002dda
15a89d039
hex72e6424

120480804 has 48 divisors (see below), whose sum is σ = 314496000. Its totient is φ = 39885408.

The previous prime is 120480803. The next prime is 120480817. The reversal of 120480804 is 408084021.

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

It is not an unprimeable number, because it can be changed into a prime (120480803) 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, 12349 + ... + 19835.

It is an arithmetic number, because the mean of its divisors is an integer number (6552000).

Almost surely, 2120480804 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 120480804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

120480804 is an abundant number, since it is smaller than the sum of its proper divisors (194015196).

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

120480804 is a wasteful number, since it uses less digits than its factorization.

120480804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7649 (or 7641 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 120480804 is about 10976.3748113847. The cubic root of 120480804 is about 493.9002951318.

The spelling of 120480804 in words is "one hundred twenty million, four hundred eighty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 298 447 596 894 1341 1788 2682 4023 5364 7487 8046 14974 16092 22461 29948 44922 67383 89844 134766 202149 269532 404298 808596 1115563 2231126 3346689 4462252 6693378 10040067 13386756 20080134 30120201 40160268 60240402 120480804