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13202982 = 23213173319
BaseRepresentation
bin110010010111…
…011000100110
3220211210002100
4302113120212
511334443412
61150552530
7220136442
oct62273046
926753070
1013202982
1174a8661
124508746
132973720
141a79822
15125bedc
hexc97626

13202982 has 48 divisors (see below), whose sum is σ = 32628960. Its totient is φ = 3822336.

The previous prime is 13202977. The next prime is 13202983. The reversal of 13202982 is 28920231.

It is a happy number.

13202982 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2319 + ... + 5637.

It is an arithmetic number, because the mean of its divisors is an integer number (679770).

Almost surely, 213202982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13202982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314480).

13202982 is an abundant number, since it is smaller than the sum of its proper divisors (19425978).

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

13202982 is a wasteful number, since it uses less digits than its factorization.

13202982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13202982 is about 3633.5907859857. The cubic root of 13202982 is about 236.3509453559.

The spelling of 13202982 in words is "thirteen million, two hundred two thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3319 3978 6638 9957 19914 29871 43147 56423 59742 86294 112846 129441 169269 258882 338538 388323 507807 733499 776646 1015614 1466998 2200497 4400994 6601491 13202982