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211453040 = 2455349871
BaseRepresentation
bin11001001101010…
…00010001110000
3112201212221001002
430212220101300
5413112444130
632552101132
75145215111
oct1446502160
9481787032
10211453040
11a93a5887
125a9947a8
1334a67356
1420124208
151386cb45
hexc9a8470

211453040 has 40 divisors (see below), whose sum is σ = 500914368. Its totient is φ = 82983680.

The previous prime is 211453037. The next prime is 211453049. The reversal of 211453040 is 40354112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211453049) 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, 20696 + ... + 29175.

Almost surely, 2211453040 is an apocalyptic number.

211453040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211453040 is an abundant number, since it is smaller than the sum of its proper divisors (289461328).

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

211453040 is a wasteful number, since it uses less digits than its factorization.

211453040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49937 (or 49931 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 211453040 is about 14541.4249645624. The cubic root of 211453040 is about 595.7599591892.

The spelling of 211453040 in words is "two hundred eleven million, four hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 49871 99742 199484 249355 398968 498710 797936 997420 1994840 2643163 3989680 5286326 10572652 13215815 21145304 26431630 42290608 52863260 105726520 211453040