Search a number
-
+
120445380 = 2236511751
BaseRepresentation
bin1110010110111…
…01100111000100
322101122021000000
413023131213010
5221313223010
615541321300
72661524466
oct713354704
9271567000
10120445380
1161a96440
1234406230
131bc51873
1411dd4136
15a8927c0
hex72dd9c4

120445380 has 168 divisors, whose sum is σ = 414255744. Its totient is φ = 29160000.

The previous prime is 120445379. The next prime is 120445387. The reversal of 120445380 is 83544021.

120445380 is a `hidden beast` number, since 1 + 204 + 453 + 8 + 0 = 666.

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 (120445387) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 160005 + ... + 160755.

It is an arithmetic number, because the mean of its divisors is an integer number (2465808).

Almost surely, 2120445380 is an apocalyptic number.

120445380 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 120445380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207127872).

120445380 is an abundant number, since it is smaller than the sum of its proper divisors (293810364).

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

120445380 is a wasteful number, since it uses less digits than its factorization.

120445380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 120445380 is about 10974.7610452347. The cubic root of 120445380 is about 493.8518845455.

It can be divided in two parts, 12044 and 5380, that added together give a square (17424 = 1322).

The spelling of 120445380 in words is "one hundred twenty million, four hundred forty-five thousand, three hundred eighty".