Search a number
-
+
139332960 = 2534513827
BaseRepresentation
bin10000100111000…
…00110101100000
3100201011211220000
420103200311200
5241132123320
621454220000
73311211354
oct1023406540
9321154800
10139332960
1171716a08
123a7b4600
1322b35850
141470d464
15c373c90
hex84e0d60

139332960 has 240 divisors, whose sum is σ = 530194896. Its totient is φ = 34255872.

The previous prime is 139332923. The next prime is 139333001. The reversal of 139332960 is 69233931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168067 + ... + 168893.

Almost surely, 2139332960 is an apocalyptic number.

139332960 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 139332960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265097448).

139332960 is an abundant number, since it is smaller than the sum of its proper divisors (390861936).

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

139332960 is a wasteful number, since it uses less digits than its factorization.

139332960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 139332960 is about 11803.9383258301. The cubic root of 139332960 is about 518.4234300110.

The spelling of 139332960 in words is "one hundred thirty-nine million, three hundred thirty-two thousand, nine hundred sixty".