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13220136 = 2332315923
BaseRepresentation
bin110010011011…
…100100101000
3220212122121200
4302123210220
511341021021
61151204200
7220240446
oct62334450
926778550
1013220136
11750a536
124516660
13297b487
141a81b96
151262126
hexc9b928

13220136 has 48 divisors (see below), whose sum is σ = 36965760. Its totient is φ = 4263840.

The previous prime is 13220131. The next prime is 13220177. The reversal of 13220136 is 63102231.

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

It is not an unprimeable number, because it can be changed into a prime (13220131) 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 11 ways as a sum of consecutive naturals, for example, 730 + ... + 5193.

It is an arithmetic number, because the mean of its divisors is an integer number (770120).

Almost surely, 213220136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18482880).

13220136 is an abundant number, since it is smaller than the sum of its proper divisors (23745624).

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

13220136 is a wasteful number, since it uses less digits than its factorization.

13220136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966 (or 5959 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13220136 is about 3635.9504947125. The cubic root of 13220136 is about 236.4532608657.

Adding to 13220136 its reverse (63102231), we get a palindrome (76322367).

The spelling of 13220136 in words is "thirteen million, two hundred twenty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 5923 11846 17769 23692 35538 47384 53307 71076 106614 142152 183613 213228 367226 426456 550839 734452 1101678 1468904 1652517 2203356 3305034 4406712 6610068 13220136