Search a number
-
+
13597980 = 22351121873
BaseRepresentation
bin110011110111…
…110100011100
3221120211220220
4303313310130
511440113410
61203241340
7223403154
oct63676434
927524826
1013597980
117748400
124679250
132a81456
141b3d764
1512d9070
hexcf7d1c

13597980 has 72 divisors (see below), whose sum is σ = 41872656. Its totient is φ = 3294720.

The previous prime is 13597963. The next prime is 13598009. The reversal of 13597980 is 8979531.

It is a happy number.

It is a congruent number.

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, 6324 + ... + 8196.

Almost surely, 213597980 is an apocalyptic number.

13597980 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 13597980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20936328).

13597980 is an abundant number, since it is smaller than the sum of its proper divisors (28274676).

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

13597980 is a wasteful number, since it uses less digits than its factorization.

13597980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 13597980 is about 3687.5438980438. The cubic root of 13597980 is about 238.6848199766.

It can be divided in two parts, 1359 and 7980, that added together give a palindrome (9339).

The spelling of 13597980 in words is "thirteen million, five hundred ninety-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 1873 2420 3630 3746 5619 7260 7492 9365 11238 18730 20603 22476 28095 37460 41206 56190 61809 82412 103015 112380 123618 206030 226633 247236 309045 412060 453266 618090 679899 906532 1133165 1236180 1359798 2266330 2719596 3399495 4532660 6798990 13597980