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19870016 = 26734253
BaseRepresentation
bin100101111001…
…1000101000000
31101101111112112
41023303011000
520041320031
61545514452
7330615035
oct113630500
941344475
1019870016
1110241701
1267a2a28
13416920a
1428d338c
151b2762b
hex12f3140

19870016 has 28 divisors (see below), whose sum is σ = 39979092. Its totient is φ = 9796608.

The previous prime is 19870013. The next prime is 19870021. The reversal of 19870016 is 61007891.

It can be written as a sum of positive squares in 2 ways, for example, as 6150400 + 13719616 = 2480^2 + 3704^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19870013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2546 + ... + 6798.

Almost surely, 219870016 is an apocalyptic number.

19870016 is a gapful number since it is divisible by the number (16) 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 19870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19989546).

19870016 is an abundant number, since it is smaller than the sum of its proper divisors (20109076).

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

19870016 is an equidigital number, since it uses as much as digits as its factorization.

19870016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 19870016 is about 4457.5796123008. The cubic root of 19870016 is about 270.8524316526.

The spelling of 19870016 in words is "nineteen million, eight hundred seventy thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 4253 4672 8506 17012 34024 68048 136096 272192 310469 620938 1241876 2483752 4967504 9935008 19870016