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19873240 = 2351979331
BaseRepresentation
bin100101111001…
…1110111011000
31101101122221221
41023303313120
520041420430
61545541424
7330630322
oct113636730
941348857
1019873240
1110244072
1267a4874
13416a81a
1428d4612
151b2857a
hex12f3dd8

19873240 has 64 divisors (see below), whose sum is σ = 47808000. Its totient is φ = 7413120.

The previous prime is 19873237. The next prime is 19873241. The reversal of 19873240 is 4237891.

It is a junction number, because it is equal to n+sod(n) for n = 19873196 and 19873205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19873241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59875 + ... + 60205.

It is an arithmetic number, because the mean of its divisors is an integer number (747000).

Almost surely, 219873240 is an apocalyptic number.

19873240 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 19873240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23904000).

19873240 is an abundant number, since it is smaller than the sum of its proper divisors (27934760).

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

19873240 is a wasteful number, since it uses less digits than its factorization.

19873240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 19873240 is about 4457.9412288634. The cubic root of 19873240 is about 270.8670798712.

The spelling of 19873240 in words is "nineteen million, eight hundred seventy-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 79 95 152 158 190 316 331 380 395 632 662 760 790 1324 1501 1580 1655 2648 3002 3160 3310 6004 6289 6620 7505 12008 12578 13240 15010 25156 26149 30020 31445 50312 52298 60040 62890 104596 125780 130745 209192 251560 261490 496831 522980 993662 1045960 1987324 2484155 3974648 4968310 9936620 19873240