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20171928 = 23372171009
BaseRepresentation
bin100110011110…
…0110010011000
31101221211200110
41030330302120
520131000203
62000204320
7333313200
oct114746230
941854613
1020171928
1110428517
1269096a0
13424376a
142971400
151b86d03
hex133cc98

20171928 has 96 divisors (see below), whose sum is σ = 62175600. Its totient is φ = 5419008.

The previous prime is 20171927. The next prime is 20171929. The reversal of 20171928 is 82917102.

It is an interprime number because it is at equal distance from previous prime (20171927) and next prime (20171929).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20171895 and 20171904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20171927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19488 + ... + 20496.

Almost surely, 220171928 is an apocalyptic number.

20171928 is a gapful number since it is divisible by the number (28) 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 20171928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31087800).

20171928 is an abundant number, since it is smaller than the sum of its proper divisors (42003672).

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

20171928 is a wasteful number, since it uses less digits than its factorization.

20171928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 20171928 is about 4491.3169560831. The cubic root of 20171928 is about 272.2173507821.

The spelling of 20171928 in words is "twenty million, one hundred seventy-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1009 1176 1428 1666 2018 2499 2856 3027 3332 4036 4998 6054 6664 7063 8072 9996 12108 14126 17153 19992 21189 24216 28252 34306 42378 49441 51459 56504 68612 84756 98882 102918 120071 137224 148323 169512 197764 205836 240142 296646 360213 395528 411672 480284 593292 720426 840497 960568 1186584 1440852 1680994 2521491 2881704 3361988 5042982 6723976 10085964 20171928