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19825330 = 257713989
BaseRepresentation
bin100101110100…
…0001010110010
31101022020020111
41023220022302
520033402310
61544531534
7330340540
oct113501262
941266214
1019825330
1110211078
126780baa
134151a85
1428c0d90
151b1928a
hex12e82b2

19825330 has 32 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 6699840.

The previous prime is 19825327. The next prime is 19825343. The reversal of 19825330 is 3352891.

It is a happy number.

19825330 is nontrivially palindromic in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 19825292 and 19825301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2976 + ... + 6964.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 219825330 is an apocalyptic number.

19825330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19825330 is an abundant number, since it is smaller than the sum of its proper divisors (21542990).

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

19825330 is a wasteful number, since it uses less digits than its factorization.

19825330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 19825330 is about 4452.5644296293. The cubic root of 19825330 is about 270.6492377846.

The spelling of 19825330 in words is "nineteen million, eight hundred twenty-five thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 71 142 355 497 710 994 2485 3989 4970 7978 19945 27923 39890 55846 139615 279230 283219 566438 1416095 1982533 2832190 3965066 9912665 19825330