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19840064 = 26417561
BaseRepresentation
bin100101110101…
…1110001000000
31101022222110012
41023223301000
520034340224
61545124052
7330431516
oct113536100
941288405
1019840064
1110221152
126789628
1341586aa
1428c64b6
151b1d80e
hex12ebc40

19840064 has 28 divisors (see below), whose sum is σ = 40335708. Its totient is φ = 9676800.

The previous prime is 19840049. The next prime is 19840091. The reversal of 19840064 is 46004891.

It can be written as a sum of positive squares in 2 ways, for example, as 2534464 + 17305600 = 1592^2 + 4160^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 19840064.

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 3 ways as a sum of consecutive naturals, for example, 1157 + ... + 6404.

It is an arithmetic number, because the mean of its divisors is an integer number (1440561).

Almost surely, 219840064 is an apocalyptic number.

It is an amenable number.

19840064 is an abundant number, since it is smaller than the sum of its proper divisors (20495644).

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

19840064 is an equidigital number, since it uses as much as digits as its factorization.

19840064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7614 (or 7604 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 19840064 is about 4454.2186744703. The cubic root of 19840064 is about 270.7162691764.

The spelling of 19840064 in words is "nineteen million, eight hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 7561 15122 30244 60488 120976 241952 310001 483904 620002 1240004 2480008 4960016 9920032 19840064