Search a number
-
+
21545568 = 2533112267
BaseRepresentation
bin101001000110…
…0001001100000
31111112121222000
41102030021200
521003424233
62045444000
7351064032
oct122141140
944477860
1021545568
1111186560
127270600
134604a75
142c0bc52
151d58d13
hex148c260

21545568 has 96 divisors (see below), whose sum is σ = 68584320. Its totient is φ = 6526080.

The previous prime is 21545551. The next prime is 21545603. The reversal of 21545568 is 86554512.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8371 + ... + 10637.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 221545568 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 21545568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34292160).

21545568 is an abundant number, since it is smaller than the sum of its proper divisors (47038752).

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

21545568 is a wasteful number, since it uses less digits than its factorization.

21545568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2283 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 21545568 is about 4641.7203707246. The cubic root of 21545568 is about 278.2611971577.

The spelling of 21545568 in words is "twenty-one million, five hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2267 2376 3168 4534 4752 6801 9068 9504 13602 18136 20403 24937 27204 36272 40806 49874 54408 61209 72544 74811 81612 99748 108816 122418 149622 163224 199496 217632 224433 244836 299244 326448 398992 448866 489672 598488 652896 673299 797984 897732 979344 1196976 1346598 1795464 1958688 2393952 2693196 3590928 5386392 7181856 10772784 21545568