Search a number
-
+
28123040 = 2551119292
BaseRepresentation
bin110101101000…
…1111110100000
31221220210120002
41223101332200
524144414130
62442435132
7461020241
oct153217640
957823502
1028123040
1114969290
129502aa8
135a9886a
143a40cc8
152707b45
hex1ad1fa0

28123040 has 144 divisors (see below), whose sum is σ = 79017120. Its totient is φ = 9354240.

The previous prime is 28122977. The next prime is 28123057. The reversal of 28123040 is 4032182.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 969746 + ... + 969774.

It is an arithmetic number, because the mean of its divisors is an integer number (548730).

Almost surely, 228123040 is an apocalyptic number.

28123040 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 28123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39508560).

28123040 is an abundant number, since it is smaller than the sum of its proper divisors (50894080).

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

28123040 is a wasteful number, since it uses less digits than its factorization.

28123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 28123040 is about 5303.1160651074. The cubic root of 28123040 is about 304.1030352496.

The spelling of 28123040 in words is "twenty-eight million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 29 32 38 40 44 55 58 76 80 88 95 110 116 145 152 160 176 190 209 220 232 290 304 319 352 380 418 440 464 551 580 608 638 760 836 841 880 928 1045 1102 1160 1276 1520 1595 1672 1682 1760 2090 2204 2320 2552 2755 3040 3190 3344 3364 4180 4205 4408 4640 5104 5510 6061 6380 6688 6728 8360 8410 8816 9251 10208 11020 12122 12760 13456 15979 16720 16820 17632 18502 22040 24244 25520 26912 30305 31958 33440 33640 37004 44080 46255 48488 51040 60610 63916 67280 74008 79895 88160 92510 96976 121220 127832 134560 148016 159790 175769 185020 193952 242440 255664 296032 319580 351538 370040 484880 511328 639160 703076 740080 878845 969760 1278320 1406152 1480160 1757690 2556640 2812304 3515380 5624608 7030760 14061520 28123040