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140800800 = 25352717229
BaseRepresentation
bin10000110010001…
…11001100100000
3100210221102101110
420121013030200
5242021111200
621545503320
73326533650
oct1031071440
9323842343
10140800800
11725297a8
123b1a1b40
132322a9aa
14149b2360
15c563b50
hex8647320

140800800 has 432 divisors, whose sum is σ = 575588160. Its totient is φ = 29245440.

The previous prime is 140800789. The next prime is 140800801. The reversal of 140800800 is 8008041.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (140800801) 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, 4855186 + ... + 4855214.

It is an arithmetic number, because the mean of its divisors is an integer number (1332380).

Almost surely, 2140800800 is an apocalyptic number.

140800800 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 140800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287794080).

140800800 is an abundant number, since it is smaller than the sum of its proper divisors (434787360).

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

140800800 is a wasteful number, since it uses less digits than its factorization.

140800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 140800800 is about 11865.9512892983. The cubic root of 140800800 is about 520.2375640352.

Adding to 140800800 its reverse (8008041), we get a palindrome (148808841).

The spelling of 140800800 in words is "one hundred forty million, eight hundred thousand, eight hundred".