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13029136 = 241942859
BaseRepresentation
bin110001101100…
…111100010000
3220111221121121
4301230330100
511313413021
61143132024
7215513551
oct61547420
926457547
1013029136
117399a8a
124444014
132912563
141a32328
151225741
hexc6cf10

13029136 has 20 divisors (see below), whose sum is σ = 26573200. Its totient is φ = 6171552.

The previous prime is 13029131. The next prime is 13029151. The reversal of 13029136 is 63192031.

It is a self number, because there is not a number n which added to its sum of digits gives 13029136.

It is not an unprimeable number, because it can be changed into a prime (13029131) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 21126 + ... + 21733.

It is an arithmetic number, because the mean of its divisors is an integer number (1328660).

Almost surely, 213029136 is an apocalyptic number.

13029136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13029136 is an abundant number, since it is smaller than the sum of its proper divisors (13544064).

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

13029136 is a wasteful number, since it uses less digits than its factorization.

13029136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42886 (or 42880 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 13029136 is about 3609.5894503392. The cubic root of 13029136 is about 235.3090004900.

The spelling of 13029136 in words is "thirteen million, twenty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 42859 85718 171436 342872 685744 814321 1628642 3257284 6514568 13029136