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19986048 = 27335783
BaseRepresentation
bin100110000111…
…1011010000000
31101121101201000
41030033122000
520104023143
61552212000
7331610235
oct114173200
941541630
1019986048
11103108a5
12683a000
1341a9c84
14292378c
151b4bbd3
hex130f680

19986048 has 64 divisors (see below), whose sum is σ = 58996800. Its totient is φ = 6660864.

The previous prime is 19986047. The next prime is 19986053. The reversal of 19986048 is 84068991.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×199860482 = 798884229316608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19985994 and 19986012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19986047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 565 + ... + 6347.

It is an arithmetic number, because the mean of its divisors is an integer number (921825).

Almost surely, 219986048 is an apocalyptic number.

19986048 is a gapful number since it is divisible by the number (18) 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 19986048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29498400).

19986048 is an abundant number, since it is smaller than the sum of its proper divisors (39010752).

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

19986048 is an equidigital number, since it uses as much as digits as its factorization.

19986048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5806 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 19986048 is about 4470.5758018403. The cubic root of 19986048 is about 271.3786277188.

The spelling of 19986048 in words is "nineteen million, nine hundred eighty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 5783 11566 17349 23132 34698 46264 52047 69396 92528 104094 138792 156141 185056 208188 277584 312282 370112 416376 555168 624564 740224 832752 1110336 1249128 1665504 2220672 2498256 3331008 4996512 6662016 9993024 19986048