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140360400 = 243252127307
BaseRepresentation
bin10000101110110…
…11101011010000
3100210010001021100
420113123223100
5241413013100
621532224400
73323020665
oct1027335320
9323101240
10140360400
1172258934
123b00b100
13231053bb
14148d9a6c
15c4c8400
hex85dbad0

140360400 has 180 divisors, whose sum is σ = 492524032. Its totient is φ = 37013760.

The previous prime is 140360399. The next prime is 140360413. The reversal of 140360400 is 4063041.

140360400 is digitally balanced in base 2, 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 (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 457047 + ... + 457353.

Almost surely, 2140360400 is an apocalyptic number.

140360400 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 140360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246262016).

140360400 is an abundant number, since it is smaller than the sum of its proper divisors (352163632).

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

140360400 is a wasteful number, since it uses less digits than its factorization.

140360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 140360400 is about 11847.3794570783. The cubic root of 140360400 is about 519.6945938397.

The spelling of 140360400 in words is "one hundred forty million, three hundred sixty thousand, four hundred".