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19968390 = 2335135689
BaseRepresentation
bin100110000101…
…1000110000110
31101120111111000
41030023012012
520102442030
61551554130
7331504611
oct114130606
941514430
1019968390
11102a9602
12682b946
1341a1c20
14291b178
151b46860
hex130b186

19968390 has 64 divisors (see below), whose sum is σ = 57355200. Its totient is φ = 4914432.

The previous prime is 19968379. The next prime is 19968397. The reversal of 19968390 is 9386991.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19968397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666 + ... + 6354.

It is an arithmetic number, because the mean of its divisors is an integer number (896175).

Almost surely, 219968390 is an apocalyptic number.

19968390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19968390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28677600).

19968390 is an abundant number, since it is smaller than the sum of its proper divisors (37386810).

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

19968390 is a wasteful number, since it uses less digits than its factorization.

19968390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 19968390 is about 4468.6004520431. The cubic root of 19968390 is about 271.2986816856.

The spelling of 19968390 in words is "nineteen million, nine hundred sixty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 5689 11378 17067 28445 34134 51201 56890 73957 85335 102402 147914 153603 170670 221871 256005 307206 369785 443742 512010 665613 739570 768015 1109355 1331226 1536030 1996839 2218710 3328065 3993678 6656130 9984195 19968390