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19834640 = 245735419
BaseRepresentation
bin100101110101…
…0011100010000
31101022201000022
41023222130100
520034202030
61545043012
7330406640
oct113523420
941281008
1019834640
1110218071
126786468
134156097
1428c4520
151b1bde5
hex12ea710

19834640 has 40 divisors (see below), whose sum is σ = 52704960. Its totient is φ = 6800256.

The previous prime is 19834603. The next prime is 19834681. The reversal of 19834640 is 4643891.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 19834640.

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 7 ways as a sum of consecutive naturals, for example, 17150 + ... + 18269.

It is an arithmetic number, because the mean of its divisors is an integer number (1317624).

Almost surely, 219834640 is an apocalyptic number.

19834640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19834640 is an abundant number, since it is smaller than the sum of its proper divisors (32870320).

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

19834640 is a wasteful number, since it uses less digits than its factorization.

19834640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35439 (or 35433 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 19834640 is about 4453.6097718592. The cubic root of 19834640 is about 270.6915968959.

The spelling of 19834640 in words is "nineteen million, eight hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 35419 70838 141676 177095 247933 283352 354190 495866 566704 708380 991732 1239665 1416760 1983464 2479330 2833520 3966928 4958660 9917320 19834640