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19684240 = 2451971249
BaseRepresentation
bin100101100010…
…1101110010000
31101001001200221
41023011232100
520014343430
61541522424
7326212312
oct113055620
941031627
1019684240
1110125074
126713414
1341027a4
1428857b2
151adc57a
hex12c5b90

19684240 has 40 divisors (see below), whose sum is σ = 46035000. Its totient is φ = 7827456.

The previous prime is 19684237. The next prime is 19684267. The reversal of 19684240 is 4248691.

It can be written as a sum of positive squares in 4 ways, for example, as 6230016 + 13454224 = 2496^2 + 3668^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 19684196 and 19684205.

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, 15136 + ... + 16384.

It is an arithmetic number, because the mean of its divisors is an integer number (1150875).

Almost surely, 219684240 is an apocalyptic number.

19684240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19684240 is an abundant number, since it is smaller than the sum of its proper divisors (26350760).

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

19684240 is a wasteful number, since it uses less digits than its factorization.

19684240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 19684240 is about 4436.6924617332. The cubic root of 19684240 is about 270.0056697483.

The spelling of 19684240 in words is "nineteen million, six hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 197 394 788 985 1249 1576 1970 2498 3152 3940 4996 6245 7880 9992 12490 15760 19984 24980 49960 99920 246053 492106 984212 1230265 1968424 2460530 3936848 4921060 9842120 19684240