Search a number
-
+
18268880 = 24571719101
BaseRepresentation
bin100010110110…
…0001011010000
31021101011012012
41011230023100
514134101010
61451322052
7311166020
oct105541320
937334165
1018268880
11a348753
126150328
133a284b6
1425d7a80
15190d005
hex116c2d0

18268880 has 160 divisors (see below), whose sum is σ = 54639360. Its totient is φ = 5529600.

The previous prime is 18268849. The next prime is 18268891. The reversal of 18268880 is 8886281.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180830 + ... + 180930.

It is an arithmetic number, because the mean of its divisors is an integer number (341496).

Almost surely, 218268880 is an apocalyptic number.

18268880 is a gapful number since it is divisible by the number (10) 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 18268880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27319680).

18268880 is an abundant number, since it is smaller than the sum of its proper divisors (36370480).

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

18268880 is a wasteful number, since it uses less digits than its factorization.

18268880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 41.

The square root of 18268880 is about 4274.2110383087. The cubic root of 18268880 is about 263.3726302871.

The spelling of 18268880 in words is "eighteen million, two hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 19 20 28 34 35 38 40 56 68 70 76 80 85 95 101 112 119 133 136 140 152 170 190 202 238 266 272 280 304 323 340 380 404 476 505 532 560 595 646 665 680 707 760 808 952 1010 1064 1190 1292 1330 1360 1414 1520 1615 1616 1717 1904 1919 2020 2128 2261 2380 2584 2660 2828 3230 3434 3535 3838 4040 4522 4760 5168 5320 5656 6460 6868 7070 7676 8080 8585 9044 9520 9595 10640 11305 11312 12019 12920 13433 13736 14140 15352 17170 18088 19190 22610 24038 25840 26866 27472 28280 30704 32623 34340 36176 38380 45220 48076 53732 56560 60095 65246 67165 68680 76760 90440 96152 107464 120190 130492 134330 137360 153520 163115 180880 192304 214928 228361 240380 260984 268660 326230 456722 480760 521968 537320 652460 913444 961520 1074640 1141805 1304920 1826888 2283610 2609840 3653776 4567220 9134440 18268880