Search a number
-
+
18470100 = 223521129193
BaseRepresentation
bin100011001110…
…1010011010100
31021202101012210
41012131103110
514212020400
61455513420
7312664455
oct106352324
937671183
1018470100
11a475950
126228870
133a98c6c
14264b12c
15194c950
hex119d4d4

18470100 has 144 divisors (see below), whose sum is σ = 60621120. Its totient is φ = 4300800.

The previous prime is 18470099. The next prime is 18470113. The reversal of 18470100 is 107481.

It is a super-2 number, since 2×184701002 = 682289188020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95604 + ... + 95796.

It is an arithmetic number, because the mean of its divisors is an integer number (420980).

Almost surely, 218470100 is an apocalyptic number.

18470100 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 18470100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30310560).

18470100 is an abundant number, since it is smaller than the sum of its proper divisors (42151020).

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

18470100 is a wasteful number, since it uses less digits than its factorization.

18470100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 18470100 is about 4297.6854235739. The cubic root of 18470100 is about 264.3360619235.

Adding to 18470100 its reverse (107481), we get a palindrome (18577581).

The spelling of 18470100 in words is "eighteen million, four hundred seventy thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 29 30 33 44 50 55 58 60 66 75 87 100 110 116 132 145 150 165 174 193 220 275 290 300 319 330 348 386 435 550 579 580 638 660 725 772 825 870 957 965 1100 1158 1276 1450 1595 1650 1740 1914 1930 2123 2175 2316 2895 2900 3190 3300 3828 3860 4246 4350 4785 4825 5597 5790 6369 6380 7975 8492 8700 9570 9650 10615 11194 11580 12738 14475 15950 16791 19140 19300 21230 22388 23925 25476 27985 28950 31845 31900 33582 42460 47850 53075 55970 57900 61567 63690 67164 83955 95700 106150 111940 123134 127380 139925 159225 167910 184701 212300 246268 279850 307835 318450 335820 369402 419775 559700 615670 636900 738804 839550 923505 1231340 1539175 1679100 1847010 3078350 3694020 4617525 6156700 9235050 18470100