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18213780 = 223513191229
BaseRepresentation
bin100010101111…
…0101110010100
31021021100121110
41011132232110
514130320110
61450215020
7310546254
oct105365624
937240543
1018213780
11a310312
126124470
133a093b0
1425c1964
1518eba20
hex115eb94

18213780 has 96 divisors (see below), whose sum is σ = 57859200. Its totient is φ = 4243968.

The previous prime is 18213773. The next prime is 18213781. The reversal of 18213780 is 8731281.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18213781) 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 31 ways as a sum of consecutive naturals, for example, 14206 + ... + 15434.

It is an arithmetic number, because the mean of its divisors is an integer number (602700).

Almost surely, 218213780 is an apocalyptic number.

18213780 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 18213780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28929600).

18213780 is an abundant number, since it is smaller than the sum of its proper divisors (39645420).

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

18213780 is a wasteful number, since it uses less digits than its factorization.

18213780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 18213780 is about 4267.7605368624. The cubic root of 18213780 is about 263.1075812724.

The spelling of 18213780 in words is "eighteen million, two hundred thirteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1229 1235 1482 2458 2470 2964 3687 3705 4916 4940 6145 7374 7410 12290 14748 14820 15977 18435 23351 24580 31954 36870 46702 47931 63908 70053 73740 79885 93404 95862 116755 140106 159770 191724 233510 239655 280212 303563 319540 350265 467020 479310 607126 700530 910689 958620 1214252 1401060 1517815 1821378 3035630 3642756 4553445 6071260 9106890 18213780