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140112000 = 2732537139
BaseRepresentation
bin10000101100111…
…11000010000000
3100202122102112100
420112133002000
5241332041000
621523030400
73320634540
oct1026370200
9322572470
10140112000
11720a9246
123ab0b400
1323049312
1414873320
15c479a00
hex859f080

140112000 has 384 divisors, whose sum is σ = 579196800. Its totient is φ = 31795200.

The previous prime is 140111957. The next prime is 140112013. The reversal of 140112000 is 211041.

It is a happy number.

140112000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007931 + ... + 1008069.

It is an arithmetic number, because the mean of its divisors is an integer number (1508325).

Almost surely, 2140112000 is an apocalyptic number.

140112000 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 140112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289598400).

140112000 is an abundant number, since it is smaller than the sum of its proper divisors (439084800).

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

140112000 is a wasteful number, since it uses less digits than its factorization.

140112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 140112000 is about 11836.8914838314. The cubic root of 140112000 is about 519.3878397865.

Adding to 140112000 its reverse (211041), we get a palindrome (140323041).

The spelling of 140112000 in words is "one hundred forty million, one hundred twelve thousand".