Search a number
-
+
21669248 = 273143127
BaseRepresentation
bin101001010101…
…0010110000000
31111202220121202
41102222112000
521021403443
62052240332
7352120436
oct122522600
944686552
1021669248
1111260477
1273100a8
134649153
142c40d56
151d807b8
hex14aa580

21669248 has 64 divisors (see below), whose sum is σ = 45957120. Its totient is φ = 10160640.

The previous prime is 21669239. The next prime is 21669257. The reversal of 21669248 is 84296612.

It is an interprime number because it is at equal distance from previous prime (21669239) and next prime (21669257).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170561 + ... + 170687.

It is an arithmetic number, because the mean of its divisors is an integer number (718080).

Almost surely, 221669248 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 21669248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22978560).

21669248 is an abundant number, since it is smaller than the sum of its proper divisors (24287872).

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

21669248 is a wasteful number, since it uses less digits than its factorization.

21669248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 21669248 is about 4655.0239526774. The cubic root of 21669248 is about 278.7926243411.

The spelling of 21669248 in words is "twenty-one million, six hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 127 128 172 248 254 344 496 508 688 992 1016 1333 1376 1984 2032 2666 2752 3937 3968 4064 5332 5461 5504 7874 8128 10664 10922 15748 16256 21328 21844 31496 42656 43688 62992 85312 87376 125984 169291 170624 174752 251968 338582 349504 503936 677164 699008 1354328 2708656 5417312 10834624 21669248