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13216830 = 235113331
BaseRepresentation
bin110010011010…
…110000111110
3220212111002020
4302122300332
511340414310
61151141010
7220225014
oct62326076
926774066
1013216830
117508000
124514766
132979b13
141a808b4
151261170
hexc9ac3e

13216830 has 64 divisors (see below), whose sum is σ = 34995456. Its totient is φ = 3194400.

The previous prime is 13216813. The next prime is 13216831. The reversal of 13216830 is 3861231.

It is a self number, because there is not a number n which added to its sum of digits gives 13216830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13216831) 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 31 ways as a sum of consecutive naturals, for example, 39765 + ... + 40095.

It is an arithmetic number, because the mean of its divisors is an integer number (546804).

Almost surely, 213216830 is an apocalyptic number.

13216830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13216830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17497728).

13216830 is an abundant number, since it is smaller than the sum of its proper divisors (21778626).

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

13216830 is a wasteful number, since it uses less digits than its factorization.

13216830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13216830 is about 3635.4958396345. The cubic root of 13216830 is about 236.4335490248.

The spelling of 13216830 in words is "thirteen million, two hundred sixteen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 331 363 605 662 726 993 1210 1331 1655 1815 1986 2662 3310 3630 3641 3993 4965 6655 7282 7986 9930 10923 13310 18205 19965 21846 36410 39930 40051 54615 80102 109230 120153 200255 240306 400510 440561 600765 881122 1201530 1321683 2202805 2643366 4405610 6608415 13216830