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119481120 = 253251119397
BaseRepresentation
bin1110001111100…
…10001100100000
322022211021021200
413013302030200
5221041343440
615504521200
72650400313
oct707621440
9268737250
10119481120
1161497a30
1234020200
131b9a49b5
1411c2297a
15a751c30
hex71f2320

119481120 has 288 divisors, whose sum is σ = 469385280. Its totient is φ = 27371520.

The previous prime is 119481079. The next prime is 119481137. The reversal of 119481120 is 21184911.

119481120 = T31 + T32 + ... + T894.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300762 + ... + 301158.

It is an arithmetic number, because the mean of its divisors is an integer number (1629810).

Almost surely, 2119481120 is an apocalyptic number.

119481120 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 119481120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234692640).

119481120 is an abundant number, since it is smaller than the sum of its proper divisors (349904160).

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

119481120 is a wasteful number, since it uses less digits than its factorization.

119481120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 119481120 is about 10930.7419693267. The cubic root of 119481120 is about 492.5304609811.

The spelling of 119481120 in words is "one hundred nineteen million, four hundred eighty-one thousand, one hundred twenty".