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36126029 is a prime number
BaseRepresentation
bin1000100111001…
…1110101001101
32111222101121002
42021303311031
533222013104
63330150045
7616031462
oct211636515
974871532
1036126029
1119435025
1210122325
13763b464
144b25669
15328901e
hex2273d4d

36126029 has 2 divisors, whose sum is σ = 36126030. Its totient is φ = 36126028.

The previous prime is 36126017. The next prime is 36126047. The reversal of 36126029 is 92062163.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36120100 + 5929 = 6010^2 + 77^2 .

It is a cyclic number.

It is not a de Polignac number, because 36126029 - 28 = 36125773 is a prime.

It is a super-3 number, since 3×361260293 (a number of 24 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 36125992 and 36126010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36126059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18063014 + 18063015.

It is an arithmetic number, because the mean of its divisors is an integer number (18063015).

Almost surely, 236126029 is an apocalyptic number.

It is an amenable number.

36126029 is a deficient number, since it is larger than the sum of its proper divisors (1).

36126029 is an equidigital number, since it uses as much as digits as its factorization.

36126029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 36126029 is about 6010.4932409911. The cubic root of 36126029 is about 330.5775896346.

The spelling of 36126029 in words is "thirty-six million, one hundred twenty-six thousand, twenty-nine".