Search a number
-
+
119380320 = 2532582903
BaseRepresentation
bin1110001110110…
…01100101100000
322022122011000100
413013121211200
5221030132240
615502422400
72646500403
oct707314540
9268564010
10119380320
1161429224
1233b91a00
131b96ab57
1411bd7d3a
15a731e30
hex71d9960

119380320 has 72 divisors (see below), whose sum is σ = 407390256. Its totient is φ = 31834368.

The previous prime is 119380309. The next prime is 119380333. The reversal of 119380320 is 23083911.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40012 + ... + 42891.

It is an arithmetic number, because the mean of its divisors is an integer number (5658198).

Almost surely, 2119380320 is an apocalyptic number.

119380320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

119380320 is an abundant number, since it is smaller than the sum of its proper divisors (288009936).

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

119380320 is a wasteful number, since it uses less digits than its factorization.

119380320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82924 (or 82913 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 119380320 is about 10926.1301474950. The cubic root of 119380320 is about 492.3919145771.

The spelling of 119380320 in words is "one hundred nineteen million, three hundred eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 82903 165806 248709 331612 414515 497418 663224 746127 829030 994836 1243545 1326448 1492254 1658060 1989672 2487090 2652896 2984508 3316120 3730635 3979344 4974180 5969016 6632240 7461270 7958688 9948360 11938032 13264480 14922540 19896720 23876064 29845080 39793440 59690160 119380320