Search a number
-
+
139837140 = 22325978009
BaseRepresentation
bin10000101010110…
…11111011010100
3100202010110111100
420111123323110
5241244242030
621513110100
73315411312
oct1025337324
9322113440
10139837140
1171a30793
123a9b8330
1322c81191
14148010b2
15c423360
hex855bed4

139837140 has 72 divisors (see below), whose sum is σ = 428599080. Its totient is φ = 36900864.

The previous prime is 139837099. The next prime is 139837141. The reversal of 139837140 is 41738931.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18352656 + 121484484 = 4284^2 + 11022^2 .

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 = 139837095 and 139837104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139837141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13456 + ... + 21464.

It is an arithmetic number, because the mean of its divisors is an integer number (5952765).

Almost surely, 2139837140 is an apocalyptic number.

139837140 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 139837140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214299540).

139837140 is an abundant number, since it is smaller than the sum of its proper divisors (288761940).

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

139837140 is a wasteful number, since it uses less digits than its factorization.

139837140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8121 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 139837140 is about 11825.2754724784. The cubic root of 139837140 is about 519.0479869203.

The spelling of 139837140 in words is "one hundred thirty-nine million, eight hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8009 8730 16018 17460 24027 32036 40045 48054 72081 80090 96108 120135 144162 160180 240270 288324 360405 480540 720810 776873 1441620 1553746 2330619 3107492 3884365 4661238 6991857 7768730 9322476 11653095 13983714 15537460 23306190 27967428 34959285 46612380 69918570 139837140