Search a number
-
+
139833792 = 2632779439
BaseRepresentation
bin10000101010110…
…11000111000000
3100202010021220100
420111123013000
5241244140132
621513042400
73315365460
oct1025330700
9322107810
10139833792
1171a2921a
123a9b6400
1322c7c7b7
14147ddba0
15c42237c
hex855b1c0

139833792 has 168 divisors, whose sum is σ = 464921600. Its totient is φ = 39356928.

The previous prime is 139833791. The next prime is 139833803. The reversal of 139833792 is 297338931.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139833791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318309 + ... + 318747.

Almost surely, 2139833792 is an apocalyptic number.

139833792 is a gapful number since it is divisible by the number (12) 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 139833792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232460800).

139833792 is an abundant number, since it is smaller than the sum of its proper divisors (325087808).

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

139833792 is a wasteful number, since it uses less digits than its factorization.

139833792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 530 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 139833792 is about 11825.1339104468. The cubic root of 139833792 is about 519.0438445145.

It can be divided in two parts, 139833 and 792, that added together give a square (140625 = 3752).

The spelling of 139833792 in words is "one hundred thirty-nine million, eight hundred thirty-three thousand, seven hundred ninety-two".