Search a number
-
+
140112960 = 263513103109
BaseRepresentation
bin10000101100111…
…11010001000000
3100202122110211220
420112133101000
5241332103320
621523035040
73320640411
oct1026372100
9322573756
10140112960
11720a9a39
123ab0ba80
13230498a0
1414873808
15c479e40
hex859f440

140112960 has 224 divisors, whose sum is σ = 488167680. Its totient is φ = 33841152.

The previous prime is 140112943. The next prime is 140112961. The reversal of 140112960 is 69211041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 140112960.

It is not an unprimeable number, because it can be changed into a prime (140112961) 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 31 ways as a sum of consecutive naturals, for example, 1285386 + ... + 1285494.

It is an arithmetic number, because the mean of its divisors is an integer number (2179320).

Almost surely, 2140112960 is an apocalyptic number.

140112960 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 140112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244083840).

140112960 is an abundant number, since it is smaller than the sum of its proper divisors (348054720).

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

140112960 is a wasteful number, since it uses less digits than its factorization.

140112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 140112960 is about 11836.9320349489. The cubic root of 140112960 is about 519.3890260070.

The spelling of 140112960 in words is "one hundred forty million, one hundred twelve thousand, nine hundred sixty".