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21320448 = 283172371
BaseRepresentation
bin101000101010…
…1001100000000
31111010012011020
41101111030000
520424223243
62040545440
7346135512
oct121251400
944105136
1021320448
1111042406
127182280
134556466
142b8dbb2
151d12283
hex1455300

21320448 has 144 divisors (see below), whose sum is σ = 63576576. Its totient is φ = 6307840.

The previous prime is 21320447. The next prime is 21320479. The reversal of 21320448 is 84402312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21320447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300253 + ... + 300323.

It is an arithmetic number, because the mean of its divisors is an integer number (441504).

Almost surely, 221320448 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 21320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31788288).

21320448 is an abundant number, since it is smaller than the sum of its proper divisors (42256128).

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

21320448 is a wasteful number, since it uses less digits than its factorization.

21320448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 21320448 is about 4617.4070645764. The cubic root of 21320448 is about 277.2886597997.

The spelling of 21320448 in words is "twenty-one million, three hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 71 92 96 102 128 136 138 142 184 192 204 213 256 272 276 284 368 384 391 408 426 544 552 568 736 768 782 816 852 1088 1104 1136 1173 1207 1472 1564 1632 1633 1704 2176 2208 2272 2346 2414 2944 3128 3264 3266 3408 3621 4352 4416 4544 4692 4828 4899 5888 6256 6528 6532 6816 7242 8832 9088 9384 9656 9798 12512 13056 13064 13632 14484 17664 18176 18768 19312 19596 25024 26128 27264 27761 28968 37536 38624 39192 50048 52256 54528 55522 57936 75072 77248 78384 83283 100096 104512 111044 115872 150144 154496 156768 166566 209024 222088 231744 300288 308992 313536 333132 418048 444176 463488 627072 666264 888352 926976 1254144 1332528 1776704 2665056 3553408 5330112 7106816 10660224 21320448