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18112380 = 223511132111
BaseRepresentation
bin100010100010…
…1111101111100
31021002012111220
41011011331330
514114044010
61444113340
7306644526
oct105057574
937065456
1018112380
11a251110
126095850
1339a21b0
142596a16
1518cb970
hex1145f7c

18112380 has 96 divisors (see below), whose sum is σ = 59609088. Its totient is φ = 4051200.

The previous prime is 18112349. The next prime is 18112387. The reversal of 18112380 is 8321181.

It is a self number, because there is not a number n which added to its sum of digits gives 18112380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18112387) 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, 7525 + ... + 9635.

It is an arithmetic number, because the mean of its divisors is an integer number (620928).

Almost surely, 218112380 is an apocalyptic number.

18112380 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 18112380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29804544).

18112380 is an abundant number, since it is smaller than the sum of its proper divisors (41496708).

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

18112380 is a wasteful number, since it uses less digits than its factorization.

18112380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 18112380 is about 4255.8641895624. The cubic root of 18112380 is about 262.6184136958.

It can be divided in two parts, 181 and 12380, that added together give a triangular number (12561 = T158).

The spelling of 18112380 in words is "eighteen million, one hundred twelve thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2111 2145 2860 4222 4290 6333 8444 8580 10555 12666 21110 23221 25332 27443 31665 42220 46442 54886 63330 69663 82329 92884 109772 116105 126660 137215 139326 164658 232210 274430 278652 301873 329316 348315 411645 464420 548860 603746 696630 823290 905619 1207492 1393260 1509365 1646580 1811238 3018730 3622476 4528095 6037460 9056190 18112380