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20370840 = 2335724251
BaseRepresentation
bin100110110110…
…1010110011000
31102022221112120
41031231112120
520203331330
62004341240
7335102130
oct115552630
942287476
1020370840
1110553a06
1269a4820
1342b3169
1429c3ac0
151bc5c10
hex136d598

20370840 has 64 divisors (see below), whose sum is σ = 69845760. Its totient is φ = 4656000.

The previous prime is 20370821. The next prime is 20370841. The reversal of 20370840 is 4807302.

It is a super-2 number, since 2×203708402 = 829942244611200, which contains 22 as substring.

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 20370840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20370841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11286 + ... + 12965.

It is an arithmetic number, because the mean of its divisors is an integer number (1091340).

Almost surely, 220370840 is an apocalyptic number.

20370840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20370840 is an abundant number, since it is smaller than the sum of its proper divisors (49474920).

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

20370840 is a wasteful number, since it uses less digits than its factorization.

20370840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24272 (or 24268 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 20370840 is about 4513.4066956125. The cubic root of 20370840 is about 273.1091889707.

The spelling of 20370840 in words is "twenty million, three hundred seventy thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 24251 48502 72753 97004 121255 145506 169757 194008 242510 291012 339514 363765 485020 509271 582024 679028 727530 848785 970040 1018542 1358056 1455060 1697570 2037084 2546355 2910120 3395140 4074168 5092710 6790280 10185420 20370840