Search a number
-
+
26278020 = 223555407
BaseRepresentation
bin110010000111…
…1100010000100
31211110001200000
41210033202010
523211344040
62335121300
7436234206
oct144174204
954401600
1026278020
111391907a
128973230
1355a0b32
1436c0776
152491130
hex190f884

26278020 has 72 divisors (see below), whose sum is σ = 82677504. Its totient is φ = 7006176.

The previous prime is 26278001. The next prime is 26278061. The reversal of 26278020 is 2087262.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2157 + ... + 7563.

Almost surely, 226278020 is an apocalyptic number.

26278020 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 26278020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41338752).

26278020 is an abundant number, since it is smaller than the sum of its proper divisors (56399484).

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

26278020 is a wasteful number, since it uses less digits than its factorization.

26278020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5431 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 26278020 is about 5126.2091256600. The cubic root of 26278020 is about 297.3018052373.

The spelling of 26278020 in words is "twenty-six million, two hundred seventy-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 5407 10814 16221 21628 27035 32442 48663 54070 64884 81105 97326 108140 145989 162210 194652 243315 291978 324420 437967 486630 583956 729945 875934 973260 1313901 1459890 1751868 2189835 2627802 2919780 4379670 5255604 6569505 8759340 13139010 26278020