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18482240 = 265737223
BaseRepresentation
bin100011010000…
…0010001000000
31021202222212102
41012200101000
514212412430
61500045532
7313045040
oct106402100
937688772
1018482240
11a483a87
1262338a8
133aa164a
142651720
151951345
hex11a0440

18482240 has 112 divisors (see below), whose sum is σ = 51889152. Its totient is φ = 6137856.

The previous prime is 18482239. The next prime is 18482257. The reversal of 18482240 is 4228481.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82769 + ... + 82991.

It is an arithmetic number, because the mean of its divisors is an integer number (463296).

Almost surely, 218482240 is an apocalyptic number.

18482240 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 18482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25944576).

18482240 is an abundant number, since it is smaller than the sum of its proper divisors (33406912).

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

18482240 is a wasteful number, since it uses less digits than its factorization.

18482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 18482240 is about 4299.0975797253. The cubic root of 18482240 is about 264.3939633781.

The spelling of 18482240 in words is "eighteen million, four hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 140 148 160 185 223 224 259 280 296 320 370 446 448 518 560 592 740 892 1036 1115 1120 1184 1295 1480 1561 1784 2072 2230 2240 2368 2590 2960 3122 3568 4144 4460 5180 5920 6244 7136 7805 8251 8288 8920 10360 11840 12488 14272 15610 16502 16576 17840 20720 24976 31220 33004 35680 41255 41440 49952 57757 62440 66008 71360 82510 82880 99904 115514 124880 132016 165020 231028 249760 264032 288785 330040 462056 499520 528064 577570 660080 924112 1155140 1320160 1848224 2310280 2640320 3696448 4620560 9241120 18482240