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140459400 = 23335219372
BaseRepresentation
bin10000101111100…
…11110110001000
3100210022002002000
420113303312020
5241424200100
621534311000
73323612424
oct1027636610
9323262060
10140459400
1172316254
123b058460
132313b493
1414923b84
15c4e7900
hex85f3d88

140459400 has 288 divisors, whose sum is σ = 523404000. Its totient is φ = 34525440.

The previous prime is 140459377. The next prime is 140459401. The reversal of 140459400 is 4954041.

140459400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (140459401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3796182 + ... + 3796218.

It is an arithmetic number, because the mean of its divisors is an integer number (1817375).

Almost surely, 2140459400 is an apocalyptic number.

140459400 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 140459400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261702000).

140459400 is an abundant number, since it is smaller than the sum of its proper divisors (382944600).

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

140459400 is a wasteful number, since it uses less digits than its factorization.

140459400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 140459400 is about 11851.5568597548. The cubic root of 140459400 is about 519.8167500253.

The spelling of 140459400 in words is "one hundred forty million, four hundred fifty-nine thousand, four hundred".