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210412240 = 2452630153
BaseRepresentation
bin11001000101010…
…10001011010000
3112122221001022221
430202222023100
5412331142430
632513510424
75133321523
oct1442521320
9478831287
10210412240
11a8854915
125a572414
13347916ac
141dd32bba
151371457a
hexc8aa2d0

210412240 has 20 divisors (see below), whose sum is σ = 489208644. Its totient is φ = 84164864.

The previous prime is 210412219. The next prime is 210412253. The reversal of 210412240 is 42214012.

It can be written as a sum of positive squares in 2 ways, for example, as 39639616 + 170772624 = 6296^2 + 13068^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1314997 + ... + 1315156.

Almost surely, 2210412240 is an apocalyptic number.

210412240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210412240 is an abundant number, since it is smaller than the sum of its proper divisors (278796404).

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

210412240 is a wasteful number, since it uses less digits than its factorization.

210412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630166 (or 2630160 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 210412240 is about 14505.5934039253. The cubic root of 210412240 is about 594.7808811121.

Adding to 210412240 its reverse (42214012), we get a palindrome (252626252).

The spelling of 210412240 in words is "two hundred ten million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2630153 5260306 10520612 13150765 21041224 26301530 42082448 52603060 105206120 210412240