Search a number
-
+
139720032 = 2533237989
BaseRepresentation
bin10000101001111…
…11010101100000
3100201220111212000
420110333111200
5241232020112
621510404000
73314413014
oct1024772540
9321814760
10139720032
1171960801
123a960600
1322c3ca9a
14147b0544
15c3ed7dc
hex853f560

139720032 has 192 divisors, whose sum is σ = 435456000. Its totient is φ = 43490304.

The previous prime is 139720019. The next prime is 139720039. The reversal of 139720032 is 230027931.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 139719978 and 139720005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139720039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1569844 + ... + 1569932.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2139720032 is an apocalyptic number.

139720032 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 139720032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

139720032 is an abundant number, since it is smaller than the sum of its proper divisors (295735968).

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

139720032 is a wasteful number, since it uses less digits than its factorization.

139720032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 139720032 is about 11820.3228382308. The cubic root of 139720032 is about 518.9030524921.

Adding to 139720032 its reverse (230027931), we get a palindrome (369747963).

The spelling of 139720032 in words is "one hundred thirty-nine million, seven hundred twenty thousand, thirty-two".