Search a number
-
+
38278020 = 22351159983
BaseRepresentation
bin1001001000000…
…1001110000100
32200000201120110
42102001032010
534244344040
63444233020
7643233504
oct222011604
980021513
1038278020
111a674930
121099b770
137c12b21
145125a04
153561980
hex2481384

38278020 has 96 divisors (see below), whose sum is σ = 119024640. Its totient is φ = 9112960.

The previous prime is 38278007. The next prime is 38278021. The reversal of 38278020 is 2087283.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (38278021) 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, 38449 + ... + 39431.

It is an arithmetic number, because the mean of its divisors is an integer number (1239840).

Almost surely, 238278020 is an apocalyptic number.

38278020 is a gapful number since it is divisible by the number (30) 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 38278020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59512320).

38278020 is an abundant number, since it is smaller than the sum of its proper divisors (80746620).

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

38278020 is a wasteful number, since it uses less digits than its factorization.

38278020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 38278020 is about 6186.9233064586. The cubic root of 38278020 is about 337.0154583217.

The spelling of 38278020 in words is "thirty-eight million, two hundred seventy-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 220 236 295 330 354 590 649 660 708 885 983 1180 1298 1770 1947 1966 2596 2949 3245 3540 3894 3932 4915 5898 6490 7788 9735 9830 10813 11796 12980 14745 19470 19660 21626 29490 32439 38940 43252 54065 57997 58980 64878 108130 115994 129756 162195 173991 216260 231988 289985 324390 347982 579970 637967 648780 695964 869955 1159940 1275934 1739910 1913901 2551868 3189835 3479820 3827802 6379670 7655604 9569505 12759340 19139010 38278020