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18010240 = 275107263
BaseRepresentation
bin100010010110…
…1000010000000
31020220000101221
41010231002000
514102311430
61442004424
7306040663
oct104550200
936800357
1018010240
11a1913a6
126046714
133967861
14256b6da
1518ab57a
hex112d080

18010240 has 64 divisors (see below), whose sum is σ = 43623360. Its totient is φ = 7109632.

The previous prime is 18010229. The next prime is 18010241. The reversal of 18010240 is 4201081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (18010241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68349 + ... + 68611.

It is an arithmetic number, because the mean of its divisors is an integer number (681615).

Almost surely, 218010240 is an apocalyptic number.

18010240 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 18010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21811680).

18010240 is an abundant number, since it is smaller than the sum of its proper divisors (25613120).

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

18010240 is a wasteful number, since it uses less digits than its factorization.

18010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 18010240 is about 4243.8473111082. The cubic root of 18010240 is about 262.1238270218.

The spelling of 18010240 in words is "eighteen million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 160 214 263 320 428 526 535 640 856 1052 1070 1315 1712 2104 2140 2630 3424 4208 4280 5260 6848 8416 8560 10520 13696 16832 17120 21040 28141 33664 34240 42080 56282 68480 84160 112564 140705 168320 225128 281410 450256 562820 900512 1125640 1801024 2251280 3602048 4502560 9005120 18010240