[go: up one dir, main page]

Search a number
-
+
28190160 = 2433531421
BaseRepresentation
bin110101110001…
…0010111010000
31222001012122000
41223202113100
524204041120
62444114000
7461420025
oct153422720
958035560
1028190160
1114a04759
129535900
135ac028b
143a5b54c
15271c990
hex1ae25d0

28190160 has 160 divisors (see below), whose sum is σ = 100469760. Its totient is φ = 7257600.

The previous prime is 28190147. The next prime is 28190161. The reversal of 28190160 is 6109182.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28190161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66750 + ... + 67170.

It is an arithmetic number, because the mean of its divisors is an integer number (627936).

Almost surely, 228190160 is an apocalyptic number.

28190160 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 28190160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50234880).

28190160 is an abundant number, since it is smaller than the sum of its proper divisors (72279600).

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

28190160 is a wasteful number, since it uses less digits than its factorization.

28190160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 28190160 is about 5309.4406485053. The cubic root of 28190160 is about 304.3447727348.

It can be divided in two parts, 281901 and 60, that added together give a square (281961 = 5312).

The spelling of 28190160 in words is "twenty-eight million, one hundred ninety thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 421 432 465 496 540 558 620 720 744 837 842 930 1080 1116 1240 1263 1395 1488 1674 1684 1860 2105 2160 2232 2480 2526 2790 3348 3368 3720 3789 4185 4210 4464 5052 5580 6315 6696 6736 7440 7578 8370 8420 10104 11160 11367 12630 13051 13392 15156 16740 16840 18945 20208 22320 22734 25260 26102 30312 33480 33680 37890 39153 45468 50520 52204 56835 60624 65255 66960 75780 78306 90936 101040 104408 113670 117459 130510 151560 156612 181872 195765 208816 227340 234918 261020 303120 313224 352377 391530 454680 469836 522040 587295 626448 704754 783060 909360 939672 1044080 1174590 1409508 1566120 1761885 1879344 2349180 2819016 3132240 3523770 4698360 5638032 7047540 9396720 14095080 28190160