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20286630 = 23257132477
BaseRepresentation
bin100110101100…
…0110010100110
31102011200000200
41031120302212
520143133010
62002451330
7334301460
oct115306246
942150020
1020286630
11104a6711
126963b46
134283a30
1429a1130
151baacc0
hex1358ca6

20286630 has 96 divisors (see below), whose sum is σ = 64943424. Its totient is φ = 4278528.

The previous prime is 20286613. The next prime is 20286653. The reversal of 20286630 is 3668202.

20286630 is a `hidden beast` number, since 2 + 0 + 28 + 6 + 630 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20286594 and 20286603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6952 + ... + 9428.

It is an arithmetic number, because the mean of its divisors is an integer number (676494).

Almost surely, 220286630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20286630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32471712).

20286630 is an abundant number, since it is smaller than the sum of its proper divisors (44656794).

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

20286630 is a wasteful number, since it uses less digits than its factorization.

20286630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20286630 is about 4504.0681611183. The cubic root of 20286630 is about 272.7323383908.

The spelling of 20286630 in words is "twenty million, two hundred eighty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2477 2730 4095 4954 7431 8190 12385 14862 17339 22293 24770 32201 34678 37155 44586 52017 64402 74310 86695 96603 104034 111465 156051 161005 173390 193206 222930 225407 260085 289809 312102 322010 450814 483015 520170 579618 676221 780255 966030 1127035 1352442 1449045 1560510 2028663 2254070 2898090 3381105 4057326 6762210 10143315 20286630