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13102830 = 2335133733
BaseRepresentation
bin110001111110…
…111011101110
3220122200201000
4301332323232
511323242310
61144501130
7216241446
oct61767356
926580630
1013102830
11743a394
12447a7a6
132939c70
141a51126
15123c4c0
hexc7eeee

13102830 has 64 divisors (see below), whose sum is σ = 37638720. Its totient is φ = 3224448.

The previous prime is 13102823. The next prime is 13102849. The reversal of 13102830 is 3820131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1644 + ... + 5376.

It is an arithmetic number, because the mean of its divisors is an integer number (588105).

Almost surely, 213102830 is an apocalyptic number.

13102830 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 13102830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18819360).

13102830 is an abundant number, since it is smaller than the sum of its proper divisors (24535890).

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

13102830 is a wasteful number, since it uses less digits than its factorization.

13102830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13102830 is about 3619.7831426758. The cubic root of 13102830 is about 235.7518098466.

Adding to 13102830 its reverse (3820131), we get a palindrome (16922961).

The spelling of 13102830 in words is "thirteen million, one hundred two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 3733 7466 11199 18665 22398 33597 37330 48529 55995 67194 97058 100791 111990 145587 167985 201582 242645 291174 335970 436761 485290 503955 727935 873522 1007910 1310283 1455870 2183805 2620566 4367610 6551415 13102830