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13262620 = 2257611553
BaseRepresentation
bin110010100101…
…111100011100
3220221210220011
4302211330130
511343400440
61152133004
7220505350
oct62457434
926853804
1013262620
117539448
124537164
132994907
141a93460
15126e9ea
hexca5f1c

13262620 has 48 divisors (see below), whose sum is σ = 32372928. Its totient is φ = 4469760.

The previous prime is 13262611. The next prime is 13262621. The reversal of 13262620 is 2626231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13262591 and 13262600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13262621) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7764 + ... + 9316.

It is an arithmetic number, because the mean of its divisors is an integer number (674436).

Almost surely, 213262620 is an apocalyptic number.

13262620 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 13262620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186464).

13262620 is an abundant number, since it is smaller than the sum of its proper divisors (19110308).

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

13262620 is a wasteful number, since it uses less digits than its factorization.

13262620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 13262620 is about 3641.7880223868. The cubic root of 13262620 is about 236.7062773965.

Adding to 13262620 its reverse (2626231), we get a palindrome (15888851).

The spelling of 13262620 in words is "thirteen million, two hundred sixty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1553 1708 2135 3106 4270 6212 7765 8540 10871 15530 21742 31060 43484 54355 94733 108710 189466 217420 378932 473665 663131 947330 1326262 1894660 2652524 3315655 6631310 13262620