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139328640 = 2733511733
BaseRepresentation
bin10000100110111…
…11110010000000
3100201011121222000
420103133302000
5241132004030
621454144000
73311162643
oct1023376200
9321147860
10139328640
1171713740
123a7b2000
1322b338a9
141470ba5a
15c372860
hex84dfc80

139328640 has 256 divisors, whose sum is σ = 539049600. Its totient is φ = 33730560.

The previous prime is 139328639. The next prime is 139328669. The reversal of 139328640 is 46823931.

139328640 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 2 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 139328595 and 139328604.

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, 189714 + ... + 190446.

Almost surely, 2139328640 is an apocalyptic number.

139328640 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 139328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269524800).

139328640 is an abundant number, since it is smaller than the sum of its proper divisors (399720960).

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

139328640 is a wasteful number, since it uses less digits than its factorization.

139328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 139328640 is about 11803.7553346382. The cubic root of 139328640 is about 518.4180720723.

The spelling of 139328640 in words is "one hundred thirty-nine million, three hundred twenty-eight thousand, six hundred forty".