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20328210 = 2325741787
BaseRepresentation
bin100110110001…
…0111100010010
31102020210001200
41031202330102
520201000320
62003412030
7334533630
oct115427422
942223050
1020328210
1110524981
126984016
134299936
1429b2350
151bb8290
hex1362f12

20328210 has 96 divisors (see below), whose sum is σ = 61955712. Its totient is φ = 4527360.

The previous prime is 20328167. The next prime is 20328221. The reversal of 20328210 is 1282302.

It is a happy number.

It is a super-2 number, since 2×203282102 = 826472243608200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 25437 + ... + 26223.

It is an arithmetic number, because the mean of its divisors is an integer number (645372).

Almost surely, 220328210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20328210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30977856).

20328210 is an abundant number, since it is smaller than the sum of its proper divisors (41627502).

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

20328210 is a wasteful number, since it uses less digits than its factorization.

20328210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20328210 is about 4508.6816254865. The cubic root of 20328210 is about 272.9185443092.

The spelling of 20328210 in words is "twenty million, three hundred twenty-eight thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 63 70 82 90 105 123 126 205 210 246 287 315 369 410 574 615 630 738 787 861 1230 1435 1574 1722 1845 2361 2583 2870 3690 3935 4305 4722 5166 5509 7083 7870 8610 11018 11805 12915 14166 16527 23610 25830 27545 32267 33054 35415 49581 55090 64534 70830 82635 96801 99162 161335 165270 193602 225869 247905 290403 322670 451738 484005 495810 580806 677607 968010 1129345 1355214 1452015 2032821 2258690 2904030 3388035 4065642 6776070 10164105 20328210