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21460040 = 2357210949
BaseRepresentation
bin101000111011…
…1010001001000
31111101021122022
41101313101020
520443210130
62043544012
7350256500
oct121672110
944337568
1021460040
1111128278
12722b008
1345a4b64
142bc8a00
151d3d7e5
hex1477448

21460040 has 48 divisors (see below), whose sum is σ = 56173500. Its totient is φ = 7357056.

The previous prime is 21460007. The next prime is 21460057. The reversal of 21460040 is 4006412.

21460040 = 6452 + 6462 + ... + 6922.

It can be written as a sum of positive squares in 2 ways, for example, as 18957316 + 2502724 = 4354^2 + 1582^2 .

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 11 ways as a sum of consecutive naturals, for example, 3515 + ... + 7434.

Almost surely, 221460040 is an apocalyptic number.

21460040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21460040 is an abundant number, since it is smaller than the sum of its proper divisors (34713460).

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

21460040 is a wasteful number, since it uses less digits than its factorization.

21460040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10974 (or 10963 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 21460040 is about 4632.4982460871. The cubic root of 21460040 is about 277.8925105896.

Adding to 21460040 its reverse (4006412), we get a palindrome (25466452).

The spelling of 21460040 in words is "twenty-one million, four hundred sixty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 10949 21898 43796 54745 76643 87592 109490 153286 218980 306572 383215 437960 536501 613144 766430 1073002 1532860 2146004 2682505 3065720 4292008 5365010 10730020 21460040