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13026900 = 22352173251
BaseRepresentation
bin110001101100…
…011001010100
3220111211112210
4301230121110
511313330100
61143113420
7215504205
oct61543124
926454483
1013026900
117398337
124442870
132911533
141a315ac
151224c50
hexc6c654

13026900 has 72 divisors (see below), whose sum is σ = 38060064. Its totient is φ = 3440000.

The previous prime is 13026883. The next prime is 13026911. The reversal of 13026900 is 962031.

It is a super-2 number, since 2×130269002 = 339400247220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51775 + ... + 52025.

It is an arithmetic number, because the mean of its divisors is an integer number (528612).

Almost surely, 213026900 is an apocalyptic number.

13026900 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 13026900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19030032).

13026900 is an abundant number, since it is smaller than the sum of its proper divisors (25033164).

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

13026900 is a wasteful number, since it uses less digits than its factorization.

13026900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 13026900 is about 3609.2797065343. The cubic root of 13026900 is about 235.2955388395.

Adding to 13026900 its reverse (962031), we get a palindrome (13988931).

The spelling of 13026900 in words is "thirteen million, twenty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 173 251 300 346 502 519 692 753 865 1004 1038 1255 1506 1730 2076 2510 2595 3012 3460 3765 4325 5020 5190 6275 7530 8650 10380 12550 12975 15060 17300 18825 25100 25950 37650 43423 51900 75300 86846 130269 173692 217115 260538 434230 521076 651345 868460 1085575 1302690 2171150 2605380 3256725 4342300 6513450 13026900