Search a number
-
+
119409120 = 25335131211
BaseRepresentation
bin1110001111000…
…00100111100000
322022200121112000
413013200213200
5221032042440
615503204000
72646650355
oct707404740
9268617460
10119409120
1161448926
1233ba6600
131b97acac
1411c0462c
15a73a730
hex71e09e0

119409120 has 192 divisors, whose sum is σ = 423118080. Its totient is φ = 31449600.

The previous prime is 119409119. The next prime is 119409131. The reversal of 119409120 is 21904911.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565815 + ... + 566025.

It is an arithmetic number, because the mean of its divisors is an integer number (2203740).

Almost surely, 2119409120 is an apocalyptic number.

119409120 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 119409120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211559040).

119409120 is an abundant number, since it is smaller than the sum of its proper divisors (303708960).

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

119409120 is a wasteful number, since it uses less digits than its factorization.

119409120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 119409120 is about 10927.4480094851. The cubic root of 119409120 is about 492.4315072194.

The spelling of 119409120 in words is "one hundred nineteen million, four hundred nine thousand, one hundred twenty".