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13030576 = 241326179
BaseRepresentation
bin110001101101…
…010010110000
3220112000120221
4301231102300
511313434301
61143142424
7215521006
oct61552260
926460527
1013030576
1173a0079
124444a14
132913100
141a32a76
151225da1
hexc6d4b0

13030576 has 60 divisors (see below), whose sum is σ = 28138080. Its totient is φ = 5840640.

The previous prime is 13030553. The next prime is 13030583. The reversal of 13030576 is 67503031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13030576.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164905 + ... + 164983.

It is an arithmetic number, because the mean of its divisors is an integer number (468968).

Almost surely, 213030576 is an apocalyptic number.

13030576 is a gapful number since it is divisible by the number (16) 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 13030576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14069040).

13030576 is an abundant number, since it is smaller than the sum of its proper divisors (15107504).

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

13030576 is a wasteful number, since it uses less digits than its factorization.

13030576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 13030576 is about 3609.7889134962. The cubic root of 13030576 is about 235.3176690739.

The spelling of 13030576 in words is "thirteen million, thirty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 61 79 104 122 158 169 208 244 316 338 488 632 676 793 976 1027 1264 1352 1586 2054 2704 3172 4108 4819 6344 8216 9638 10309 12688 13351 16432 19276 20618 26702 38552 41236 53404 62647 77104 82472 106808 125294 164944 213616 250588 501176 814411 1002352 1628822 3257644 6515288 13030576