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21433896 = 2334113197
BaseRepresentation
bin101000111000…
…0111000101000
31111022221210000
41101300320220
520441341041
62043223000
7350120331
oct121607050
944287700
1021433896
111110a670
127217a60
134595ca3
142bbd288
151d35bb6
hex1470e28

21433896 has 160 divisors (see below), whose sum is σ = 68302080. Its totient is φ = 6220800.

The previous prime is 21433891. The next prime is 21433897. The reversal of 21433896 is 69833412.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (31104) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 21433896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21433891) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220920 + ... + 221016.

It is an arithmetic number, because the mean of its divisors is an integer number (426888).

It is a vampire number, since it can be written as 34926138 (with its own digits).

Almost surely, 221433896 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 21433896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34151040).

21433896 is an abundant number, since it is smaller than the sum of its proper divisors (46868184).

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

21433896 is a wasteful number, since it uses less digits than its factorization.

21433896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 21433896 is about 4629.6755825868. The cubic root of 21433896 is about 277.7796158930.

The spelling of 21433896 in words is "twenty-one million, four hundred thirty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 81 88 93 97 99 108 124 132 162 186 194 198 216 248 264 279 291 297 324 341 372 388 396 558 582 594 648 682 744 776 792 837 873 891 1023 1067 1116 1164 1188 1364 1674 1746 1782 2046 2134 2232 2328 2376 2511 2619 2728 3007 3069 3201 3348 3492 3564 4092 4268 5022 5238 6014 6138 6402 6696 6984 7128 7857 8184 8536 9021 9207 9603 10044 10476 12028 12276 12804 15714 18042 18414 19206 20088 20952 24056 24552 25608 27063 27621 28809 31428 33077 36084 36828 38412 54126 55242 57618 62856 66154 72168 73656 76824 81189 86427 99231 108252 110484 115236 132308 162378 172854 198462 216504 220968 230472 243567 264616 297693 324756 345708 396924 487134 595386 649512 691416 793848 893079 974268 1190772 1786158 1948536 2381544 2679237 3572316 5358474 7144632 10716948 21433896