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210407920 = 2452630099
BaseRepresentation
bin11001000101010…
…01000111110000
3112122220211101221
430202221013300
5412331023140
632513434424
75133303112
oct1442510760
9478824357
10210407920
11a8851648
125a56ba14
133478c738
141dd313b2
151371314a
hexc8a91f0

210407920 has 20 divisors (see below), whose sum is σ = 489198600. Its totient is φ = 84163136.

The previous prime is 210407909. The next prime is 210407927. The reversal of 210407920 is 29704012.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210407927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1314970 + ... + 1315129.

It is an arithmetic number, because the mean of its divisors is an integer number (24459930).

Almost surely, 2210407920 is an apocalyptic number.

210407920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210407920 is an abundant number, since it is smaller than the sum of its proper divisors (278790680).

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

210407920 is a wasteful number, since it uses less digits than its factorization.

210407920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630112 (or 2630106 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 210407920 is about 14505.4444950853. Note that the first 4 decimals coincide. The cubic root of 210407920 is about 594.7768105774.

The spelling of 210407920 in words is "two hundred ten million, four hundred seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2630099 5260198 10520396 13150495 21040792 26300990 42081584 52601980 105203960 210407920