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19992840 = 2335723801
BaseRepresentation
bin100110001000…
…1000100001000
31101121202000120
41030101010020
520104232330
61552303240
7331636110
oct114210410
941552016
1019992840
1110315a0a
126841b20
1341b00aa
142926040
151b4dc10
hex1311108

19992840 has 64 divisors (see below), whose sum is σ = 68549760. Its totient is φ = 4569600.

The previous prime is 19992829. The next prime is 19992877. The reversal of 19992840 is 4829991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 19992792 and 19992801.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11061 + ... + 12740.

It is an arithmetic number, because the mean of its divisors is an integer number (1071090).

Almost surely, 219992840 is an apocalyptic number.

19992840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19992840 is an abundant number, since it is smaller than the sum of its proper divisors (48556920).

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

19992840 is a wasteful number, since it uses less digits than its factorization.

19992840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23822 (or 23818 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 19992840 is about 4471.3353710050. The cubic root of 19992840 is about 271.4093657430.

It can be divided in two parts, 199 and 92840, that added together give a palindrome (93039).

The spelling of 19992840 in words is "nineteen million, nine hundred ninety-two 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 23801 47602 71403 95204 119005 142806 166607 190408 238010 285612 333214 357015 476020 499821 571224 666428 714030 833035 952040 999642 1332856 1428060 1666070 1999284 2499105 2856120 3332140 3998568 4998210 6664280 9996420 19992840