Search a number
-
+
28391220 = 2232511131103
BaseRepresentation
bin110110001001…
…1011100110100
31222102102102200
41230103130310
524232004340
62452304500
7463215144
oct154233464
958372380
1028391220
1115031820
129612130
135b60950
143ab0924
15275c330
hex1b13734

28391220 has 144 divisors (see below), whose sum is σ = 101267712. Its totient is φ = 6347520.

The previous prime is 28391197. The next prime is 28391227. The reversal of 28391220 is 2219382.

It is a happy number.

It is a super-2 number, since 2×283912202 = 1612122746176800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28391227) 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, 25189 + ... + 26291.

It is an arithmetic number, because the mean of its divisors is an integer number (703248).

Almost surely, 228391220 is an apocalyptic number.

28391220 is a gapful number since it is divisible by the number (20) 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 28391220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50633856).

28391220 is an abundant number, since it is smaller than the sum of its proper divisors (72876492).

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

28391220 is a wasteful number, since it uses less digits than its factorization.

28391220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 28391220 is about 5328.3412052908. The cubic root of 28391220 is about 305.0666162830.

The spelling of 28391220 in words is "twenty-eight million, three hundred ninety-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1103 1170 1287 1430 1716 1980 2145 2206 2340 2574 2860 3309 4290 4412 5148 5515 6435 6618 8580 9927 11030 12133 12870 13236 14339 16545 19854 22060 24266 25740 28678 33090 36399 39708 43017 48532 49635 57356 60665 66180 71695 72798 86034 99270 109197 121330 129051 143390 145596 157729 172068 181995 198540 215085 218394 242660 258102 286780 315458 363990 430170 436788 473187 516204 545985 630916 645255 727980 788645 860340 946374 1091970 1290510 1419561 1577290 1892748 2183940 2365935 2581020 2839122 3154580 4731870 5678244 7097805 9463740 14195610 28391220