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21292740 = 22335743131
BaseRepresentation
bin101000100111…
…0011011000100
31111001210011000
41101032123010
520422331430
62040213300
7345661650
oct121163304
944053130
1021292740
1111023607
12716a230
134546971
142b83a60
151d08e60
hex144e6c4

21292740 has 192 divisors, whose sum is σ = 78059520. Its totient is φ = 4717440.

The previous prime is 21292729. The next prime is 21292751. The reversal of 21292740 is 4729212.

It is an interprime number because it is at equal distance from previous prime (21292729) and next prime (21292751).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 162475 + ... + 162605.

It is an arithmetic number, because the mean of its divisors is an integer number (406560).

Almost surely, 221292740 is an apocalyptic number.

21292740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21292740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39029760).

21292740 is an abundant number, since it is smaller than the sum of its proper divisors (56766780).

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

21292740 is a wasteful number, since it uses less digits than its factorization.

21292740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 21292740 is about 4614.4057038800. The cubic root of 21292740 is about 277.1684865133.

The spelling of 21292740 in words is "twenty-one million, two hundred ninety-two thousand, seven hundred forty".