Search a number
-
+
139738368 = 28371117139
BaseRepresentation
bin10000101010000…
…11110100000000
3100201221110000010
420111003310000
5241233111433
621511024520
73314520330
oct1025036400
9321843003
10139738368
1171973560
123a96b140
1322c48233
14147b70c0
15c403e63
hex8543d00

139738368 has 288 divisors, whose sum is σ = 494484480. Its totient is φ = 33914880.

The previous prime is 139738367. The next prime is 139738393. The reversal of 139738368 is 863837931.

It is a super-2 number, since 2×1397383682 = 39053622982606848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139738367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005243 + ... + 1005381.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 2139738368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247242240).

139738368 is an abundant number, since it is smaller than the sum of its proper divisors (354746112).

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

139738368 is a wasteful number, since it uses less digits than its factorization.

139738368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 139738368 is about 11821.0984261193. The cubic root of 139738368 is about 518.9257507171.

The spelling of 139738368 in words is "one hundred thirty-nine million, seven hundred thirty-eight thousand, three hundred sixty-eight".