Search a number
-
+
18485880 = 2335759373
BaseRepresentation
bin100011010000…
…1001001111000
31021210011212020
41012201021320
514213022010
61500114440
7313061460
oct106411170
937704766
1018485880
11a486796
126235a20
133aa31ba
142652ba0
151952470
hex11a1278

18485880 has 128 divisors (see below), whose sum is σ = 64627200. Its totient is φ = 4142592.

The previous prime is 18485869. The next prime is 18485881. The reversal of 18485880 is 8858481.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18485881) 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, 49374 + ... + 49746.

It is an arithmetic number, because the mean of its divisors is an integer number (504900).

Almost surely, 218485880 is an apocalyptic number.

18485880 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 18485880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32313600).

18485880 is an abundant number, since it is smaller than the sum of its proper divisors (46141320).

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

18485880 is a wasteful number, since it uses less digits than its factorization.

18485880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 18485880 is about 4299.5209035426. The cubic root of 18485880 is about 264.4113193345.

The spelling of 18485880 in words is "eighteen million, four hundred eighty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 59 60 70 84 105 118 120 140 168 177 210 236 280 295 354 373 413 420 472 590 708 746 826 840 885 1119 1180 1239 1416 1492 1652 1770 1865 2065 2238 2360 2478 2611 2984 3304 3540 3730 4130 4476 4956 5222 5595 6195 7080 7460 7833 8260 8952 9912 10444 11190 12390 13055 14920 15666 16520 20888 22007 22380 24780 26110 31332 39165 44014 44760 49560 52220 62664 66021 78330 88028 104440 110035 132042 154049 156660 176056 220070 264084 308098 313320 330105 440140 462147 528168 616196 660210 770245 880280 924294 1232392 1320420 1540490 1848588 2310735 2640840 3080980 3697176 4621470 6161960 9242940 18485880