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140290800 = 243521317232
BaseRepresentation
bin10000101110010…
…10101011110000
3100202222111210120
420113022223300
5241403301200
621530530240
73322311036
oct1027125360
9322874716
10140290800
1172210611
123ab96980
13230ac810
14148bc556
15c4b29a0
hex85caaf0

140290800 has 360 divisors, whose sum is σ = 535684464. Its totient is φ = 31088640.

The previous prime is 140290793. The next prime is 140290819. The reversal of 140290800 is 8092041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6099589 + ... + 6099611.

Almost surely, 2140290800 is an apocalyptic number.

140290800 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 140290800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267842232).

140290800 is an abundant number, since it is smaller than the sum of its proper divisors (395393664).

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

140290800 is a wasteful number, since it uses less digits than its factorization.

140290800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 140290800 is about 11844.4417344170. The cubic root of 140290800 is about 519.6086799494.

The spelling of 140290800 in words is "one hundred forty million, two hundred ninety thousand, eight hundred".