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19679240 = 2357671049
BaseRepresentation
bin100101100010…
…0100000001000
31101000210211202
41023010200020
520014213430
61541443332
7326161610
oct113044010
941023752
1019679240
1110121339
126710548
134100429
142883a40
151adad45
hex12c4808

19679240 has 64 divisors (see below), whose sum is σ = 51408000. Its totient is φ = 6640128.

The previous prime is 19679239. The next prime is 19679243. The reversal of 19679240 is 4297691.

It is a junction number, because it is equal to n+sod(n) for n = 19679194 and 19679203.

It is not an unprimeable number, because it can be changed into a prime (19679243) by changing a digit.

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, 18236 + ... + 19284.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 219679240 is an apocalyptic number.

19679240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19679240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704000).

19679240 is an abundant number, since it is smaller than the sum of its proper divisors (31728760).

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

19679240 is a wasteful number, since it uses less digits than its factorization.

19679240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 19679240 is about 4436.1289431215. The cubic root of 19679240 is about 269.9828064040.

The spelling of 19679240 in words is "nineteen million, six hundred seventy-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 938 1049 1340 1876 2098 2345 2680 3752 4196 4690 5245 7343 8392 9380 10490 14686 18760 20980 29372 36715 41960 58744 70283 73430 140566 146860 281132 293720 351415 491981 562264 702830 983962 1405660 1967924 2459905 2811320 3935848 4919810 9839620 19679240