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21338856 = 23337111283
BaseRepresentation
bin101000101100…
…1101011101000
31111011010102000
41101121223220
520430320411
62041211000
7346243260
oct121315350
944133360
1021338856
1111055220
127190a60
134561956
142b967a0
151d17956
hex1459ae8

21338856 has 128 divisors (see below), whose sum is σ = 73958400. Its totient is φ = 5538240.

The previous prime is 21338851. The next prime is 21338857. The reversal of 21338856 is 65883312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21338856.

It is not an unprimeable number, because it can be changed into a prime (21338851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15991 + ... + 17273.

It is an arithmetic number, because the mean of its divisors is an integer number (577800).

Almost surely, 221338856 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 21338856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36979200).

21338856 is an abundant number, since it is smaller than the sum of its proper divisors (52619544).

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

21338856 is a wasteful number, since it uses less digits than its factorization.

21338856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1306 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 21338856 is about 4619.3999610339. The cubic root of 21338856 is about 277.3684401954.

It can be divided in two parts, 213388 and 56, that added together give a square (213444 = 4622).

The spelling of 21338856 in words is "twenty-one million, three hundred thirty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1283 1386 1512 1848 2079 2376 2566 2772 3849 4158 5132 5544 7698 8316 8981 10264 11547 14113 15396 16632 17962 23094 26943 28226 30792 34641 35924 42339 46188 53886 56452 69282 71848 80829 84678 92376 98791 107772 112904 127017 138564 161658 169356 197582 215544 242487 254034 277128 296373 323316 338712 381051 395164 484974 508068 592746 646632 762102 790328 889119 969948 1016136 1185492 1524204 1778238 1939896 2370984 2667357 3048408 3556476 5334714 7112952 10669428 21338856