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13203084 = 22317611061
BaseRepresentation
bin110010010111…
…011010001100
3220211210020010
4302113122030
511334444314
61150553220
7220136646
oct62273214
926753203
1013203084
1174a8744
124508810
13297379b
141a79896
15125c059
hexc9768c

13203084 has 48 divisors (see below), whose sum is σ = 33185376. Its totient is φ = 4070400.

The previous prime is 13203083. The next prime is 13203103. The reversal of 13203084 is 48030231.

It is a happy number.

13203084 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132030842 = 348642854222112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13203084.

It is not an unprimeable number, because it can be changed into a prime (13203083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11914 + ... + 12974.

It is an arithmetic number, because the mean of its divisors is an integer number (691362).

Almost surely, 213203084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13203084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16592688).

13203084 is an abundant number, since it is smaller than the sum of its proper divisors (19982292).

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

13203084 is a wasteful number, since it uses less digits than its factorization.

13203084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13203084 is about 3633.6048216613. The cubic root of 13203084 is about 236.3515539996.

The spelling of 13203084 in words is "thirteen million, two hundred three thousand, eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 366 732 1037 1061 2074 2122 3111 3183 4148 4244 6222 6366 12444 12732 18037 36074 54111 64721 72148 108222 129442 194163 216444 258884 388326 776652 1100257 2200514 3300771 4401028 6601542 13203084