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61198641 = 3271974931
BaseRepresentation
bin1110100101110…
…1000100110001
311021011012202100
43221131010301
5111131324031
610023411013
71342115460
oct351350461
9137135670
1061198641
11315aa499
12185b3a69
13c8a971a
1481b09d7
15558cde6
hex3a5d131

61198641 has 24 divisors (see below), whose sum is σ = 101559744. Its totient is φ = 34786080.

The previous prime is 61198603. The next prime is 61198649. The reversal of 61198641 is 14689116.

It is a happy number.

61198641 is a `hidden beast` number, since 6 + 1 + 1 + 9 + 8 + 641 = 666.

61198641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61198641 - 211 = 61196593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61198596 and 61198605.

It is not an unprimeable number, because it can be changed into a prime (61198649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9946 + ... + 14876.

It is an arithmetic number, because the mean of its divisors is an integer number (4231656).

Almost surely, 261198641 is an apocalyptic number.

It is an amenable number.

61198641 is a deficient number, since it is larger than the sum of its proper divisors (40361103).

61198641 is a wasteful number, since it uses less digits than its factorization.

61198641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141 (or 5138 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 61198641 is about 7822.9560269760. The cubic root of 61198641 is about 394.0765502699.

The spelling of 61198641 in words is "sixty-one million, one hundred ninety-eight thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 63 197 591 1379 1773 4137 4931 12411 14793 34517 44379 103551 310653 971407 2914221 6799849 8742663 20399547 61198641