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61634013 = 37389673
BaseRepresentation
bin1110101100011…
…1010111011101
311021222022222020
43223013113131
5111234242023
610041010353
71345611000
oct353072735
9137868866
1061634013
1131877601
12187839b9
13c9cc93c
148285537
155626de3
hex3ac75dd

61634013 has 32 divisors (see below), whose sum is σ = 97056000. Its totient is φ = 34771968.

The previous prime is 61634009. The next prime is 61634017. The reversal of 61634013 is 31043616.

It is an interprime number because it is at equal distance from previous prime (61634009) and next prime (61634017).

It is not a de Polignac number, because 61634013 - 22 = 61634009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61634017) by changing a digit.

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, 91245 + ... + 91917.

It is an arithmetic number, because the mean of its divisors is an integer number (3033000).

Almost surely, 261634013 is an apocalyptic number.

It is an amenable number.

61634013 is a deficient number, since it is larger than the sum of its proper divisors (35421987).

61634013 is an equidigital number, since it uses as much as digits as its factorization.

61634013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 61634013 is about 7850.7332778537. The cubic root of 61634013 is about 395.0088402658.

Adding to 61634013 its reverse (31043616), we get a palindrome (92677629).

The spelling of 61634013 in words is "sixty-one million, six hundred thirty-four thousand, thirteen".

Divisors: 1 3 7 21 49 89 147 267 343 623 673 1029 1869 2019 4361 4711 13083 14133 30527 32977 59897 91581 98931 179691 230839 419279 692517 1257837 2934953 8804859 20544671 61634013