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21428316 = 223271331211
BaseRepresentation
bin101000110111…
…1100001011100
31111022200010100
41101233201130
520441201231
62043141100
7350065140
oct121574134
944280110
1021428316
1111106458
127214790
1345935a0
142bbb220
151d341e6
hex146f85c

21428316 has 144 divisors (see below), whose sum is σ = 69142528. Its totient is φ = 5443200.

The previous prime is 21428243. The next prime is 21428317. The reversal of 21428316 is 61382412.

It is a self number, because there is not a number n which added to its sum of digits gives 21428316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21428317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101451 + ... + 101661.

Almost surely, 221428316 is an apocalyptic number.

21428316 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21428316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34571264).

21428316 is an abundant number, since it is smaller than the sum of its proper divisors (47714212).

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

21428316 is a wasteful number, since it uses less digits than its factorization.

21428316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 267 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 21428316 is about 4629.0729093416. The cubic root of 21428316 is about 277.7555085199.

The spelling of 21428316 in words is "twenty-one million, four hundred twenty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 211 217 234 252 273 279 364 372 403 422 434 468 546 558 633 651 806 819 844 868 1092 1116 1209 1266 1302 1477 1612 1638 1899 1953 2418 2532 2604 2743 2821 2954 3276 3627 3798 3906 4431 4836 5486 5642 5908 6541 7254 7596 7812 8229 8463 8862 10972 11284 13082 13293 14508 16458 16926 17724 19201 19623 24687 25389 26164 26586 32916 33852 38402 39246 45787 49374 50778 53172 57603 58869 76804 78492 85033 91574 98748 101556 115206 117738 137361 170066 172809 183148 230412 235476 255099 274722 340132 345618 412083 510198 549444 595231 691236 765297 824166 1020396 1190462 1530594 1648332 1785693 2380924 3061188 3571386 5357079 7142772 10714158 21428316