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21321048 = 2337179709
BaseRepresentation
bin101000101010…
…1010101011000
31111010012222110
41101111111120
520424233143
62040552320
7346140330
oct121252530
944105873
1021321048
1111042901
1271826a0
134556808
142b900c0
151d12533
hex1455558

21321048 has 64 divisors (see below), whose sum is σ = 61344000. Its totient is φ = 6049152.

The previous prime is 21321031. The next prime is 21321067. The reversal of 21321048 is 84012312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 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 15 ways as a sum of consecutive naturals, for example, 29718 + ... + 30426.

It is an arithmetic number, because the mean of its divisors is an integer number (958500).

Almost surely, 221321048 is an apocalyptic number.

21321048 is a gapful number since it is divisible by the number (28) 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 21321048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30672000).

21321048 is an abundant number, since it is smaller than the sum of its proper divisors (40022952).

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

21321048 is a wasteful number, since it uses less digits than its factorization.

21321048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 21321048 is about 4617.4720356489. The cubic root of 21321048 is about 277.2912609275.

The spelling of 21321048 in words is "twenty-one million, three hundred twenty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 179 358 537 709 716 1074 1253 1418 1432 2127 2148 2506 2836 3759 4254 4296 4963 5012 5672 7518 8508 9926 10024 14889 15036 17016 19852 29778 30072 39704 59556 119112 126911 253822 380733 507644 761466 888377 1015288 1522932 1776754 2665131 3045864 3553508 5330262 7107016 10660524 21321048