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13260100 = 2252719997
BaseRepresentation
bin110010100101…
…010101000100
3220221200102211
4302211111010
511343310400
61152113204
7220465120
oct62452504
926850384
1013260100
117537567
124535804
132993719
141a92580
15126ddba
hexca5544

13260100 has 72 divisors (see below), whose sum is σ = 34650560. Its totient is φ = 4302720.

The previous prime is 13260089. The next prime is 13260113. The reversal of 13260100 is 106231.

It is a nialpdrome in base 16.

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, 12802 + ... + 13798.

Almost surely, 213260100 is an apocalyptic number.

13260100 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 13260100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17325280).

13260100 is an abundant number, since it is smaller than the sum of its proper divisors (21390460).

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

13260100 is a wasteful number, since it uses less digits than its factorization.

13260100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 13260100 is about 3641.4420220566. The cubic root of 13260100 is about 236.6912844413.

Adding to 13260100 its reverse (106231), we get a palindrome (13366331).

It can be divided in two parts, 13 and 260100, that multiplied together give a triangular number (3381300 = T2600).

The spelling of 13260100 in words is "thirteen million, two hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 997 1330 1900 1994 2660 3325 3988 4985 6650 6979 9970 13300 13958 18943 19940 24925 27916 34895 37886 49850 69790 75772 94715 99700 132601 139580 174475 189430 265202 348950 378860 473575 530404 663005 697900 947150 1326010 1894300 2652020 3315025 6630050 13260100