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140821200 = 243352131759
BaseRepresentation
bin10000110010011…
…00001011010000
3100210222110101000
420121030023100
5242022234300
621550142000
73326650302
oct1031141320
9323873330
10140821200
1172543063
123b1b1900
1323237070
14149b9972
15c569c00
hex864c2d0

140821200 has 480 divisors, whose sum is σ = 581212800. Its totient is φ = 32071680.

The previous prime is 140821199. The next prime is 140821237. The reversal of 140821200 is 2128041.

It is a super-2 number, since 2×1408212002 = 39661220738880000, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 2386771 + ... + 2386829.

It is an arithmetic number, because the mean of its divisors is an integer number (1210860).

Almost surely, 2140821200 is an apocalyptic number.

140821200 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 140821200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290606400).

140821200 is an abundant number, since it is smaller than the sum of its proper divisors (440391600).

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

140821200 is a wasteful number, since it uses less digits than its factorization.

140821200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 140821200 is about 11866.8108605472. The cubic root of 140821200 is about 520.2626877888.

Adding to 140821200 its reverse (2128041), we get a palindrome (142949241).

The spelling of 140821200 in words is "one hundred forty million, eight hundred twenty-one thousand, two hundred".