Search a number
-
+
139315680 = 25335717271
BaseRepresentation
bin10000100110111…
…00100111100000
3100201010222012000
420103130213200
5241131100210
621454004000
73311110110
oct1023344740
9321128160
10139315680
1171704a29
123a7a6600
1322b2aa1a
1414707040
15c36dac0
hex84dc9e0

139315680 has 384 divisors, whose sum is σ = 592220160. Its totient is φ = 29859840.

The previous prime is 139315621. The next prime is 139315691. The reversal of 139315680 is 86513931.

It is a happy number.

139315680 is a `hidden beast` number, since 1 + 3 + 93 + 1 + 568 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 513945 + ... + 514215.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 2139315680 is an apocalyptic number.

139315680 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 139315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296110080).

139315680 is an abundant number, since it is smaller than the sum of its proper divisors (452904480).

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

139315680 is a wasteful number, since it uses less digits than its factorization.

139315680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 139315680 is about 11803.2063440406. The cubic root of 139315680 is about 518.4019975918.

The spelling of 139315680 in words is "one hundred thirty-nine million, three hundred fifteen thousand, six hundred eighty".