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13311420 = 2235613637
BaseRepresentation
bin110010110001…
…110110111100
3221001021211120
4302301312330
511401431140
61153150540
7221100543
oct62616674
927037746
1013311420
117572081
12455b450
1329b0ba5
141aa715a
15127e1d0
hexcb1dbc

13311420 has 48 divisors (see below), whose sum is σ = 37893408. Its totient is φ = 3490560.

The previous prime is 13311413. The next prime is 13311433. The reversal of 13311420 is 2411331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13311420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1842 + ... + 5478.

It is an arithmetic number, because the mean of its divisors is an integer number (789446).

Almost surely, 213311420 is an apocalyptic number.

13311420 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 13311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946704).

13311420 is an abundant number, since it is smaller than the sum of its proper divisors (24581988).

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

13311420 is a wasteful number, since it uses less digits than its factorization.

13311420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13311420 is about 3648.4818760685. The cubic root of 13311420 is about 236.9962434200.

Adding to 13311420 its reverse (2411331), we get a palindrome (15722751).

It can be divided in two parts, 13311 and 420, that added together give a palindrome (13731).

The spelling of 13311420 in words is "thirteen million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3637 3660 7274 10911 14548 18185 21822 36370 43644 54555 72740 109110 218220 221857 443714 665571 887428 1109285 1331142 2218570 2662284 3327855 4437140 6655710 13311420