Search a number
-
+
140631120 = 24335771131
BaseRepresentation
bin10000110000111…
…01110001010000
3100210121210122000
420120131301100
5242000143440
621542114000
73325226160
oct1030356120
9323553560
10140631120
1172423273
123b11b900
132319b6a6
141496a5a0
15c52d730
hex861dc50

140631120 has 320 divisors, whose sum is σ = 565678080. Its totient is φ = 31449600.

The previous prime is 140631109. The next prime is 140631143. The reversal of 140631120 is 21136041.

It is a happy number.

140631120 is a `hidden beast` number, since 14 + 0 + 631 + 1 + 20 = 666.

It is a super-2 number, since 2×1406311202 = 39554223824908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140631093 and 140631102.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1073455 + ... + 1073585.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 2140631120 is an apocalyptic number.

140631120 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 140631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282839040).

140631120 is an abundant number, since it is smaller than the sum of its proper divisors (425046960).

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

140631120 is a wasteful number, since it uses less digits than its factorization.

140631120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 140631120 is about 11858.7992646811. The cubic root of 140631120 is about 520.0284994242.

Adding to 140631120 its reverse (21136041), we get a palindrome (161767161).

The spelling of 140631120 in words is "one hundred forty million, six hundred thirty-one thousand, one hundred twenty".