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13026825 = 34527919
BaseRepresentation
bin110001101100…
…011000001001
3220111211110000
4301230120021
511313324300
61143113213
7215504040
oct61543011
926454400
1013026825
117398279
124442809
1329114a6
141a31557
151224c00
hexc6c609

13026825 has 60 divisors (see below), whose sum is σ = 27607360. Its totient is φ = 5948640.

The previous prime is 13026823. The next prime is 13026833. The reversal of 13026825 is 52862031.

It is not a de Polignac number, because 13026825 - 21 = 13026823 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (13026821) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13716 + ... + 14634.

Almost surely, 213026825 is an apocalyptic number.

13026825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13026825 is an abundant number, since it is smaller than the sum of its proper divisors (14580535).

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

13026825 is an equidigital number, since it uses as much as digits as its factorization.

13026825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13026825 is about 3609.2693166346. The cubic root of 13026825 is about 235.2950872815.

Adding to 13026825 its reverse (52862031), we get a palindrome (65888856).

The spelling of 13026825 in words is "thirteen million, twenty-six thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 315 405 525 567 675 919 945 1575 2025 2757 2835 4595 4725 6433 8271 13785 14175 19299 22975 24813 32165 41355 57897 68925 74439 96495 124065 160825 173691 206775 289485 372195 482475 521073 620325 868455 1447425 1860975 2605365 4342275 13026825