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26464020 = 223511101397
BaseRepresentation
bin110010011110…
…0111100010100
31211210111210220
41210330330110
523233322040
62343114340
7440640402
oct144747424
954714726
1026464020
1113a358a0
128a429b0
1356376ab
14372c472
1524cb2d0
hex193cf14

26464020 has 96 divisors (see below), whose sum is σ = 81841536. Its totient is φ = 6336000.

The previous prime is 26463959. The next prime is 26464051. The reversal of 26464020 is 2046462.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 66462 + ... + 66858.

It is an arithmetic number, because the mean of its divisors is an integer number (852516).

Almost surely, 226464020 is an apocalyptic number.

26464020 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 26464020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40920768).

26464020 is an abundant number, since it is smaller than the sum of its proper divisors (55377516).

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

26464020 is a wasteful number, since it uses less digits than its factorization.

26464020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 26464020 is about 5144.3191969395. The cubic root of 26464020 is about 298.0016065256.

It can be divided in two parts, 2646 and 4020, that added together give a palindrome (6666).

The spelling of 26464020 in words is "twenty-six million, four hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 397 404 505 606 660 794 1010 1111 1191 1212 1515 1588 1985 2020 2222 2382 3030 3333 3970 4367 4444 4764 5555 5955 6060 6666 7940 8734 11110 11910 13101 13332 16665 17468 21835 22220 23820 26202 33330 40097 43670 52404 65505 66660 80194 87340 120291 131010 160388 200485 240582 262020 400970 441067 481164 601455 801940 882134 1202910 1323201 1764268 2205335 2405820 2646402 4410670 5292804 6616005 8821340 13232010 26464020