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140486400 = 283452271
BaseRepresentation
bin10000101111110…
…10011100000000
3100210100110010000
420113322130000
5241431031100
621535040000
73324054225
oct1027723400
9323313100
10140486400
117233456a
123b070000
132314a862
141492d94c
15c500900
hex85fa700

140486400 has 270 divisors, whose sum is σ = 521358992. Its totient is φ = 37324800.

The previous prime is 140486363. The next prime is 140486407. The reversal of 140486400 is 4684041.

140486400 is a `hidden beast` number, since 14 + 0 + 4 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140486407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 518265 + ... + 518535.

Almost surely, 2140486400 is an apocalyptic number.

140486400 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 140486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260679496).

140486400 is an abundant number, since it is smaller than the sum of its proper divisors (380872592).

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

140486400 is an equidigital number, since it uses as much as digits as its factorization.

140486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 140486400 is about 11852.6958958711. The cubic root of 140486400 is about 519.8500553862.

The spelling of 140486400 in words is "one hundred forty million, four hundred eighty-six thousand, four hundred".