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21187284 = 22329107569
BaseRepresentation
bin101000011010…
…0101011010100
31110212102111020
41100310223110
520410443114
62034041140
7345042336
oct120645324
943772436
1021187284
1110a61358
1271191b0
13450a971
142b57456
151cd7aa9
hex1434ad4

21187284 has 48 divisors (see below), whose sum is σ = 51710400. Its totient is φ = 6743296.

The previous prime is 21187279. The next prime is 21187303. The reversal of 21187284 is 48278112.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 36952 + ... + 37520.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 221187284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21187284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25855200).

21187284 is an abundant number, since it is smaller than the sum of its proper divisors (30523116).

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

21187284 is a wasteful number, since it uses less digits than its factorization.

21187284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 710 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 21187284 is about 4602.9646968014. The cubic root of 21187284 is about 276.7101539680.

The spelling of 21187284 in words is "twenty-one million, one hundred eighty-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 29 58 87 107 116 174 214 321 348 428 569 642 1138 1284 1707 2276 3103 3414 6206 6828 9309 12412 16501 18618 33002 37236 49503 60883 66004 99006 121766 182649 198012 243532 365298 730596 1765607 3531214 5296821 7062428 10593642 21187284