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19871040 = 263572957
BaseRepresentation
bin100101111001…
…1010101000000
31101101112221110
41023303111000
520041333130
61545523320
7330621030
oct113632500
941345843
1019871040
1110242452
1267a3540
134169817
1428d38c0
151b27ab0
hex12f3540

19871040 has 112 divisors (see below), whose sum is σ = 72127872. Its totient is φ = 4540416.

The previous prime is 19871039. The next prime is 19871051. The reversal of 19871040 is 4017891.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 19870989 and 19871007.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5242 + ... + 8198.

Almost surely, 219871040 is an apocalyptic number.

19871040 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 19871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36063936).

19871040 is an abundant number, since it is smaller than the sum of its proper divisors (52256832).

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

19871040 is a wasteful number, since it uses less digits than its factorization.

19871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 19871040 is about 4457.6944713607. The cubic root of 19871040 is about 270.8570843602.

The spelling of 19871040 in words is "nineteen million, eight hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 2957 3360 5914 6720 8871 11828 14785 17742 20699 23656 29570 35484 41398 44355 47312 59140 62097 70968 82796 88710 94624 103495 118280 124194 141936 165592 177420 189248 206990 236560 248388 283872 310485 331184 354840 413980 473120 496776 567744 620970 662368 709680 827960 946240 993552 1241940 1324736 1419360 1655920 1987104 2483880 2838720 3311840 3974208 4967760 6623680 9935520 19871040