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21396312 = 233475389
BaseRepresentation
bin101000110011…
…1101101011000
31111021001020000
41101213231120
520434140222
62042333000
7346602630
oct121475530
944231200
1021396312
1111094403
1271ba160
134581b52
142bad6c0
151d299ac
hex1467b58

21396312 has 160 divisors (see below), whose sum is σ = 70567200. Its totient is φ = 5930496.

The previous prime is 21396289. The next prime is 21396317. The reversal of 21396312 is 21369312.

21396312 is a `hidden beast` number, since 21 + 3 + 9 + 631 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21396317) 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 39 ways as a sum of consecutive naturals, for example, 240364 + ... + 240452.

It is an arithmetic number, because the mean of its divisors is an integer number (441045).

Almost surely, 221396312 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 21396312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35283600).

21396312 is an abundant number, since it is smaller than the sum of its proper divisors (49170888).

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

21396312 is a wasteful number, since it uses less digits than its factorization.

21396312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 21396312 is about 4625.6147699522. The cubic root of 21396312 is about 277.6171601702.

Subtracting from 21396312 its reverse (21369312), we obtain a cube (27000 = 303).

The spelling of 21396312 in words is "twenty-one million, three hundred ninety-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 81 84 89 106 108 126 159 162 168 178 189 212 216 252 267 318 324 356 371 378 424 477 504 534 567 623 636 648 712 742 756 801 954 1068 1113 1134 1246 1272 1431 1484 1512 1602 1869 1908 2136 2226 2268 2403 2492 2862 2968 3204 3339 3738 3816 4293 4452 4536 4717 4806 4984 5607 5724 6408 6678 7209 7476 8586 8904 9434 9612 10017 11214 11448 13356 14151 14418 14952 16821 17172 18868 19224 20034 22428 26712 28302 28836 30051 33019 33642 34344 37736 40068 42453 44856 50463 56604 57672 60102 66038 67284 80136 84906 99057 100926 113208 120204 127359 132076 134568 169812 198114 201852 240408 254718 264152 297171 339624 382077 396228 403704 509436 594342 764154 792456 891513 1018872 1188684 1528308 1783026 2377368 2674539 3056616 3566052 5349078 7132104 10698156 21396312