Search a number
-
+
140904400 = 2452731379
BaseRepresentation
bin10000110011000…
…00011111010000
3100211010200111111
420121200133100
5242032420100
621552023104
73330445000
oct1031403720
9324120444
10140904400
117259a61a
123b231a94
1323265bb0
14149dc000
15c5846ba
hex86607d0

140904400 has 240 divisors, whose sum is σ = 430528000. Its totient is φ = 44029440.

The previous prime is 140904397. The next prime is 140904403. The reversal of 140904400 is 4409041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140904397) and next prime (140904403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140904403) 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 47 ways as a sum of consecutive naturals, for example, 1783561 + ... + 1783639.

Almost surely, 2140904400 is an apocalyptic number.

140904400 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 140904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215264000).

140904400 is an abundant number, since it is smaller than the sum of its proper divisors (289623600).

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

140904400 is a wasteful number, since it uses less digits than its factorization.

140904400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 140904400 is about 11870.3159182896. The cubic root of 140904400 is about 520.3651281735.

The spelling of 140904400 in words is "one hundred forty million, nine hundred four thousand, four hundred".