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18212712 = 2337217911
BaseRepresentation
bin100010101111…
…0011101101000
31021021022010220
41011132131220
514130301322
61450210040
7310543200
oct105363550
937238126
1018212712
11a30a531
126123920
133a08a6b
1425c1400
1518eb55c
hex115e768

18212712 has 96 divisors (see below), whose sum is σ = 56142720. Its totient is φ = 4892160.

The previous prime is 18212683. The next prime is 18212731. The reversal of 18212712 is 21721281.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19537 + ... + 20447.

It is an arithmetic number, because the mean of its divisors is an integer number (584820).

Almost surely, 218212712 is an apocalyptic number.

18212712 is a gapful number since it is divisible by the number (12) 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 18212712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28071360).

18212712 is an abundant number, since it is smaller than the sum of its proper divisors (37930008).

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

18212712 is a wasteful number, since it uses less digits than its factorization.

18212712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 940 counting only the distinct ones).

The product of its digits is 448, while the sum is 24.

The square root of 18212712 is about 4267.6354108569. The cubic root of 18212712 is about 263.1024385656.

Adding to 18212712 its reverse (21721281), we get a palindrome (39933993).

The spelling of 18212712 in words is "eighteen million, two hundred twelve thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 911 952 1176 1428 1666 1822 2499 2733 2856 3332 3644 4998 5466 6377 6664 7288 9996 10932 12754 15487 19131 19992 21864 25508 30974 38262 44639 46461 51016 61948 76524 89278 92922 108409 123896 133917 153048 178556 185844 216818 267834 325227 357112 371688 433636 535668 650454 758863 867272 1071336 1300908 1517726 2276589 2601816 3035452 4553178 6070904 9106356 18212712