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13229340 = 2235792791
BaseRepresentation
bin110010011101…
…110100011100
3220220010020120
4302131310130
511341314330
61151314540
7220306335
oct62356434
926803216
1013229340
117516443
12451ba50
132982717
141a8528c
151264c10
hexc9dd1c

13229340 has 48 divisors (see below), whose sum is σ = 37524480. Its totient is φ = 3481920.

The previous prime is 13229329. The next prime is 13229341. The reversal of 13229340 is 4392231.

It is a self number, because there is not a number n which added to its sum of digits gives 13229340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13229341) 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 15 ways as a sum of consecutive naturals, for example, 3345 + ... + 6135.

It is an arithmetic number, because the mean of its divisors is an integer number (781760).

Almost surely, 213229340 is an apocalyptic number.

13229340 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 13229340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18762240).

13229340 is an abundant number, since it is smaller than the sum of its proper divisors (24295140).

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

13229340 is a wasteful number, since it uses less digits than its factorization.

13229340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 13229340 is about 3637.2159682922. The cubic root of 13229340 is about 236.5081218986.

The spelling of 13229340 in words is "thirteen million, two hundred twenty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 2791 4740 5582 8373 11164 13955 16746 27910 33492 41865 55820 83730 167460 220489 440978 661467 881956 1102445 1322934 2204890 2645868 3307335 4409780 6614670 13229340