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18871840 = 2551343211
BaseRepresentation
bin100011111111…
…1011000100000
31022111210022001
41013333120200
514312344330
61512253344
7316256641
oct107773040
938453261
1018871840
11a71a769
1263a1254
133ba9a90
1427136c8
1519cb9ca
hex11ff620

18871840 has 96 divisors (see below), whose sum is σ = 49363776. Its totient is φ = 6773760.

The previous prime is 18871789. The next prime is 18871841. The reversal of 18871840 is 4817881.

It is a super-2 number, since 2×188718402 = 712292689971200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18871840.

It is not an unprimeable number, because it can be changed into a prime (18871841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89335 + ... + 89545.

It is an arithmetic number, because the mean of its divisors is an integer number (514206).

Almost surely, 218871840 is an apocalyptic number.

18871840 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 18871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24681888).

18871840 is an abundant number, since it is smaller than the sum of its proper divisors (30491936).

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

18871840 is a wasteful number, since it uses less digits than its factorization.

18871840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 37.

The square root of 18871840 is about 4344.1731088897. The cubic root of 18871840 is about 266.2388417668.

The spelling of 18871840 in words is "eighteen million, eight hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 43 52 65 80 86 104 130 160 172 208 211 215 260 344 416 422 430 520 559 688 844 860 1040 1055 1118 1376 1688 1720 2080 2110 2236 2743 2795 3376 3440 4220 4472 5486 5590 6752 6880 8440 8944 9073 10972 11180 13715 16880 17888 18146 21944 22360 27430 33760 36292 43888 44720 45365 54860 72584 87776 89440 90730 109720 117949 145168 181460 219440 235898 290336 362920 438880 471796 589745 725840 943592 1179490 1451680 1887184 2358980 3774368 4717960 9435920 18871840