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210406401 = 3223378489
BaseRepresentation
bin11001000101010…
…00110000000001
3112122220202022200
430202220300001
5412331001101
632513423413
75133265512
oct1442506001
9478822280
10210406401
11a8850497
125a56ab69
133478bb3a
141dd30a09
1513712986
hexc8a8c01

210406401 has 6 divisors (see below), whose sum is σ = 303920370. Its totient is φ = 140270928.

The previous prime is 210406387. The next prime is 210406429. The reversal of 210406401 is 104604012.

210406401 is a `hidden beast` number, since 21 + 0 + 4 + 0 + 640 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 183873600 + 26532801 = 13560^2 + 5151^2 .

It is not a de Polignac number, because 210406401 - 211 = 210404353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (210406601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11689236 + ... + 11689253.

It is an arithmetic number, because the mean of its divisors is an integer number (50653395).

Almost surely, 2210406401 is an apocalyptic number.

It is an amenable number.

210406401 is a deficient number, since it is larger than the sum of its proper divisors (93513969).

210406401 is a wasteful number, since it uses less digits than its factorization.

210406401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23378495 (or 23378492 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 210406401 is about 14505.3921353406. The cubic root of 210406401 is about 594.7753792812.

The spelling of 210406401 in words is "two hundred ten million, four hundred six thousand, four hundred one".

Divisors: 1 3 9 23378489 70135467 210406401