Search a number
-
+
18474480 = 243452851
BaseRepresentation
bin100011001111…
…0010111110000
31021202121020000
41012132113300
514212140410
61455550000
7313013313
oct106362760
937677200
1018474480
11a479172
12622b300
133a9ac5b
14264c97a
15194ddc0
hex119e5f0

18474480 has 100 divisors (see below), whose sum is σ = 64187112. Its totient is φ = 4924800.

The previous prime is 18474457. The next prime is 18474487. The reversal of 18474480 is 8447481.

It is a happy number.

It is a super-2 number, since 2×184744802 = 682612822540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18474487) 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 19 ways as a sum of consecutive naturals, for example, 5055 + ... + 7905.

Almost surely, 218474480 is an apocalyptic number.

18474480 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 18474480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32093556).

18474480 is an abundant number, since it is smaller than the sum of its proper divisors (45712632).

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

18474480 is a wasteful number, since it uses less digits than its factorization.

18474480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 18474480 is about 4298.1949699845. The cubic root of 18474480 is about 264.3569551589.

The spelling of 18474480 in words is "eighteen million, four hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 2851 3240 5702 6480 8553 11404 14255 17106 22808 25659 28510 34212 42765 45616 51318 57020 68424 76977 85530 102636 114040 128295 136848 153954 171060 205272 228080 230931 256590 307908 342120 384885 410544 461862 513180 615816 684240 769770 923724 1026360 1154655 1231632 1539540 1847448 2052720 2309310 3079080 3694896 4618620 6158160 9237240 18474480