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119132960 = 2551514931
BaseRepresentation
bin1110001100111…
…01001100100000
322022011120200212
413012131030200
5220444223320
615453233252
72644420262
oct706351440
9268146625
10119132960
116127a3a1
1233a92828
131b8b239b
1411b71b32
15a6d39c5
hex719d320

119132960 has 48 divisors (see below), whose sum is σ = 283372992. Its totient is φ = 47328000.

The previous prime is 119132953. The next prime is 119132963. The reversal of 119132960 is 69231911.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (119132963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21695 + ... + 26625.

It is an arithmetic number, because the mean of its divisors is an integer number (5903604).

Almost surely, 2119132960 is an apocalyptic number.

119132960 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 119132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141686496).

119132960 is an abundant number, since it is smaller than the sum of its proper divisors (164240032).

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

119132960 is a wasteful number, since it uses less digits than its factorization.

119132960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 119132960 is about 10914.8046249120. The cubic root of 119132960 is about 492.0515952677.

The spelling of 119132960 in words is "one hundred nineteen million, one hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 151 160 302 604 755 1208 1510 2416 3020 4832 4931 6040 9862 12080 19724 24160 24655 39448 49310 78896 98620 157792 197240 394480 744581 788960 1489162 2978324 3722905 5956648 7445810 11913296 14891620 23826592 29783240 59566480 119132960