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210130024 = 231323107821
BaseRepresentation
bin11001000011001…
…01010001101000
3112122101201012111
430201211101220
5412243130044
632503452104
75131034656
oct1441452150
9478351174
10210130024
11a8681885
125a457034
13346c30c0
141dc9bdd6
15136aab34
hexc865468

210130024 has 64 divisors (see below), whose sum is σ = 447431040. Its totient is φ = 91787520.

The previous prime is 210130007. The next prime is 210130049. The reversal of 210130024 is 420031012.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 210129986 and 210130013.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 255534 + ... + 256354.

It is an arithmetic number, because the mean of its divisors is an integer number (6991110).

Almost surely, 2210130024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210130024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223715520).

210130024 is an abundant number, since it is smaller than the sum of its proper divisors (237301016).

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

210130024 is a wasteful number, since it uses less digits than its factorization.

210130024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 210130024 is about 14495.8623061893. The cubic root of 210130024 is about 594.5148449677.

Adding to 210130024 its reverse (420031012), we get a palindrome (630161036).

The spelling of 210130024 in words is "two hundred ten million, one hundred thirty thousand, twenty-four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 107 184 214 299 428 598 821 856 1196 1391 1642 2392 2461 2782 3284 4922 5564 6568 9844 10673 11128 18883 19688 21346 31993 37766 42692 63986 75532 85384 87847 127972 151064 175694 245479 255944 351388 490958 702776 981916 1142011 1963832 2020481 2284022 4040962 4568044 8081924 9136088 16163848 26266253 52532506 105065012 210130024