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210393140 = 22541256577
BaseRepresentation
bin11001000101001…
…01100000110100
3112122220002010112
430202211200310
5412330040030
632513242152
75133212036
oct1442454064
9478802115
10210393140
11a8841531
125a563358
1334785aa9
141dd29c56
151370da95
hexc8a5834

210393140 has 24 divisors (see below), whose sum is σ = 452603592. Its totient is φ = 82104320.

The previous prime is 210393119. The next prime is 210393143. The reversal of 210393140 is 41393012.

It can be written as a sum of positive squares in 4 ways, for example, as 6360484 + 204032656 = 2522^2 + 14284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210393143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127469 + ... + 129108.

It is an arithmetic number, because the mean of its divisors is an integer number (18858483).

Almost surely, 2210393140 is an apocalyptic number.

210393140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210393140 is an abundant number, since it is smaller than the sum of its proper divisors (242210452).

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

210393140 is a wasteful number, since it uses less digits than its factorization.

210393140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256627 (or 256625 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 210393140 is about 14504.9350222605. The cubic root of 210393140 is about 594.7628836506.

The spelling of 210393140 in words is "two hundred ten million, three hundred ninety-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 256577 513154 1026308 1282885 2565770 5131540 10519657 21039314 42078628 52598285 105196570 210393140