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18286240 = 255729563
BaseRepresentation
bin100010111000…
…0011010100000
31021102001000011
41011300122200
514140124430
61451534304
7311300440
oct105603240
937361004
1018286240
11a35a7a5
12615a394
133a3337b
142600120
15191322a
hex11706a0

18286240 has 96 divisors (see below), whose sum is σ = 51166080. Its totient is φ = 6042624.

The previous prime is 18286201. The next prime is 18286241. The reversal of 18286240 is 4268281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18286241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32199 + ... + 32761.

It is an arithmetic number, because the mean of its divisors is an integer number (532980).

Almost surely, 218286240 is an apocalyptic number.

18286240 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 18286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25583040).

18286240 is an abundant number, since it is smaller than the sum of its proper divisors (32879840).

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

18286240 is a wasteful number, since it uses less digits than its factorization.

18286240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 18286240 is about 4276.2413402426. The cubic root of 18286240 is about 263.4560271419.

The spelling of 18286240 in words is "eighteen million, two hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 140 145 160 203 224 232 280 290 406 464 560 563 580 812 928 1015 1120 1126 1160 1624 2030 2252 2320 2815 3248 3941 4060 4504 4640 5630 6496 7882 8120 9008 11260 15764 16240 16327 18016 19705 22520 31528 32480 32654 39410 45040 63056 65308 78820 81635 90080 114289 126112 130616 157640 163270 228578 261232 315280 326540 457156 522464 571445 630560 653080 914312 1142890 1306160 1828624 2285780 2612320 3657248 4571560 9143120 18286240