Search a number
-
+
120919040 = 21051119113
BaseRepresentation
bin1110011010100…
…01010000000000
322102112022201222
413031101100000
5221423402130
615555414212
72665536434
oct715212000
9272468658
10120919040
116228a2a0
12345b4368
131c089338
14120b89c4
15a937ce5
hex7351400

120919040 has 176 divisors, whose sum is σ = 336035520. Its totient is φ = 41287680.

The previous prime is 120919039. The next prime is 120919063. The reversal of 120919040 is 40919021.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1070024 + ... + 1070136.

Almost surely, 2120919040 is an apocalyptic number.

120919040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168017760).

120919040 is an abundant number, since it is smaller than the sum of its proper divisors (215116480).

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

120919040 is a wasteful number, since it uses less digits than its factorization.

120919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 120919040 is about 10996.3193842303. The cubic root of 120919040 is about 494.4984069745.

The spelling of 120919040 in words is "one hundred twenty million, nine hundred nineteen thousand, forty".