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18216240 = 2435721549
BaseRepresentation
bin100010101111…
…1010100110000
31021021110222120
41011133110300
514130404430
61450234240
7310556400
oct105372460
937243876
1018216240
11a312149
126125980
133a0a553
1425c2800
1518ec610
hex115f530

18216240 has 120 divisors (see below), whose sum is σ = 65732400. Its totient is φ = 4161024.

The previous prime is 18216229. The next prime is 18216241. The reversal of 18216240 is 4261281.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 18216240.

It is not an unprimeable number, because it can be changed into a prime (18216241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10986 + ... + 12534.

It is an arithmetic number, because the mean of its divisors is an integer number (547770).

Almost surely, 218216240 is an apocalyptic number.

18216240 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 18216240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32866200).

18216240 is an abundant number, since it is smaller than the sum of its proper divisors (47516160).

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

18216240 is a wasteful number, since it uses less digits than its factorization.

18216240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 18216240 is about 4268.0487344921. The cubic root of 18216240 is about 263.1194260681.

The spelling of 18216240 in words is "eighteen million, two hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1549 1680 1960 2352 2940 3098 3920 4647 5880 6196 7745 9294 10843 11760 12392 15490 18588 21686 23235 24784 30980 32529 37176 43372 46470 54215 61960 65058 74352 75901 86744 92940 108430 123920 130116 151802 162645 173488 185880 216860 227703 260232 303604 325290 371760 379505 433720 455406 520464 607208 650580 759010 867440 910812 1138515 1214416 1301160 1518020 1821624 2277030 2602320 3036040 3643248 4554060 6072080 9108120 18216240