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20038060 = 2257323127
BaseRepresentation
bin100110001110…
…0000110101100
31101201001001101
41030130012230
520112204220
61553252444
7332215000
oct114340654
941631041
1020038060
1110346989
126864124
1341c7853
142938700
151b5c30a
hex131c1ac

20038060 has 96 divisors (see below), whose sum is σ = 51609600. Its totient is φ = 6519744.

The previous prime is 20038049. The next prime is 20038061. The reversal of 20038060 is 6083002.

It is not an unprimeable number, because it can be changed into a prime (20038061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157717 + ... + 157843.

It is an arithmetic number, because the mean of its divisors is an integer number (537600).

Almost surely, 220038060 is an apocalyptic number.

20038060 is a gapful number since it is divisible by the number (20) 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 20038060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25804800).

20038060 is an abundant number, since it is smaller than the sum of its proper divisors (31571540).

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

20038060 is a wasteful number, since it uses less digits than its factorization.

20038060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 20038060 is about 4476.3891698555. The cubic root of 20038060 is about 271.6138371099.

The spelling of 20038060 in words is "twenty million, thirty-eight thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 127 140 161 196 230 245 254 322 343 460 490 508 635 644 686 805 889 980 1127 1270 1372 1610 1715 1778 2254 2540 2921 3220 3430 3556 4445 4508 5635 5842 6223 6860 7889 8890 11270 11684 12446 14605 15778 17780 20447 22540 24892 29210 31115 31556 39445 40894 43561 58420 62230 78890 81788 87122 102235 124460 143129 157780 174244 204470 217805 286258 408940 435610 572516 715645 871220 1001903 1431290 2003806 2862580 4007612 5009515 10019030 20038060