Search a number
-
+
61540146 = 23229313803
BaseRepresentation
bin1110101011000…
…0011100110010
311021210120012200
43222300130302
5111223241041
610035004030
71345040223
oct352603462
9137716180
1061540146
1131813028
1218739616
13c998cb5
14825d24a
1556091b6
hex3ab0732

61540146 has 48 divisors (see below), whose sum is σ = 142421760. Its totient is φ = 19162080.

The previous prime is 61540133. The next prime is 61540147. The reversal of 61540146 is 64104516.

61540146 is a `hidden beast` number, since 615 + 4 + 0 + 1 + 46 = 666.

61540146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61540147) 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, 14281 + ... + 18083.

It is an arithmetic number, because the mean of its divisors is an integer number (2967120).

Almost surely, 261540146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61540146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71210880).

61540146 is an abundant number, since it is smaller than the sum of its proper divisors (80881614).

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

61540146 is a wasteful number, since it uses less digits than its factorization.

61540146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 61540146 is about 7844.7527685708. The cubic root of 61540146 is about 394.8082089799.

The spelling of 61540146 in words is "sixty-one million, five hundred forty thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 174 186 261 279 522 558 899 1798 2697 3803 5394 7606 8091 11409 16182 22818 34227 68454 110287 117893 220574 235786 330861 353679 661722 707358 992583 1061037 1985166 2122074 3418897 6837794 10256691 20513382 30770073 61540146