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18573940 = 22572111723
BaseRepresentation
bin100011011011…
…0101001110100
31021221122122201
41012312221310
514223331230
61502034244
7313606300
oct106665164
937848581
1018573940
11a536970
126278984
133b042c8
142676d00
15196d5ca
hex11b6a74

18573940 has 72 divisors (see below), whose sum is σ = 49527072. Its totient is φ = 5785920.

The previous prime is 18573937. The next prime is 18573953. The reversal of 18573940 is 4937581.

It is a self number, because there is not a number n which added to its sum of digits gives 18573940.

It is a congruent number.

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, 9919 + ... + 11641.

It is an arithmetic number, because the mean of its divisors is an integer number (687876).

Almost surely, 218573940 is an apocalyptic number.

18573940 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 18573940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24763536).

18573940 is an abundant number, since it is smaller than the sum of its proper divisors (30953132).

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

18573940 is a wasteful number, since it uses less digits than its factorization.

18573940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 18573940 is about 4309.7494126689. The cubic root of 18573940 is about 264.8305074942.

The spelling of 18573940 in words is "eighteen million, five hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 1723 2156 2695 3446 5390 6892 8615 10780 12061 17230 18953 24122 34460 37906 48244 60305 75812 84427 94765 120610 132671 168854 189530 241220 265342 337708 379060 422135 530684 663355 844270 928697 1326710 1688540 1857394 2653420 3714788 4643485 9286970 18573940