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13358380 = 2257243317
BaseRepresentation
bin110010111101…
…010100101100
3221010200020211
4302331110230
511404432010
61154152204
7221354500
oct62752454
927120224
1013358380
1175a4392
124582664
1329c9389
141aba300
15128d08a
hexcbd52c

13358380 has 72 divisors (see below), whose sum is σ = 33496848. Its totient is φ = 4459392.

The previous prime is 13358353. The next prime is 13358381. The reversal of 13358380 is 8385331.

It is not an unprimeable number, because it can be changed into a prime (13358381) 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 23 ways as a sum of consecutive naturals, for example, 41982 + ... + 42298.

It is an arithmetic number, because the mean of its divisors is an integer number (465234).

Almost surely, 213358380 is an apocalyptic number.

13358380 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 13358380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16748424).

13358380 is an abundant number, since it is smaller than the sum of its proper divisors (20138468).

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

13358380 is a wasteful number, since it uses less digits than its factorization.

13358380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 13358380 is about 3654.9117636408. The cubic root of 13358380 is about 237.2746079576.

The spelling of 13358380 in words is "thirteen million, three hundred fifty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 86 98 140 172 196 215 245 301 317 430 490 602 634 860 980 1204 1268 1505 1585 2107 2219 3010 3170 4214 4438 6020 6340 8428 8876 10535 11095 13631 15533 21070 22190 27262 31066 42140 44380 54524 62132 68155 77665 95417 136310 155330 190834 272620 310660 381668 477085 667919 954170 1335838 1908340 2671676 3339595 6679190 13358380