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19382020 = 2257167829
BaseRepresentation
bin100100111101…
…1111100000100
31100110201010121
41021323330010
514430211040
61531231324
7323513230
oct111737404
940421117
1019382020
11aa38aa9
1265a8544
134028068
1428075c0
151a7cc4a
hex127bf04

19382020 has 48 divisors (see below), whose sum is σ = 46851840. Its totient is φ = 6597504.

The previous prime is 19382017. The next prime is 19382059. The reversal of 19382020 is 2028391.

It is an unprimeable number.

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, 22966 + ... + 23794.

It is an arithmetic number, because the mean of its divisors is an integer number (976080).

Almost surely, 219382020 is an apocalyptic number.

19382020 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 19382020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23425920).

19382020 is an abundant number, since it is smaller than the sum of its proper divisors (27469820).

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

19382020 is a wasteful number, since it uses less digits than its factorization.

19382020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 19382020 is about 4402.5015616124. The cubic root of 19382020 is about 268.6167018787.

The spelling of 19382020 in words is "nineteen million, three hundred eighty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 167 334 668 829 835 1169 1658 1670 2338 3316 3340 4145 4676 5803 5845 8290 11606 11690 16580 23212 23380 29015 58030 116060 138443 276886 553772 692215 969101 1384430 1938202 2768860 3876404 4845505 9691010 19382020