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61205058 = 234377809
BaseRepresentation
bin1110100101111…
…0101001000010
311021011112120000
43221132221002
5111132030213
610023500430
71342143255
oct351365102
9137145500
1061205058
11316042a2
12185b7716
13c8ac615
1481b309c
15558ec73
hex3a5ea42

61205058 has 20 divisors (see below), whose sum is σ = 137145030. Its totient is φ = 20401632.

The previous prime is 61205057. The next prime is 61205119. The reversal of 61205058 is 85050216.

61205058 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 51451929 + 9753129 = 7173^2 + 3123^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61205057) 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 9 ways as a sum of consecutive naturals, for example, 188743 + ... + 189066.

Almost surely, 261205058 is an apocalyptic number.

61205058 is an abundant number, since it is smaller than the sum of its proper divisors (75939972).

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

61205058 is a wasteful number, since it uses less digits than its factorization.

61205058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377823 (or 377814 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 61205058 is about 7823.3661553068. The cubic root of 61205058 is about 394.0903234562.

The spelling of 61205058 in words is "sixty-one million, two hundred five thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 377809 755618 1133427 2266854 3400281 6800562 10200843 20401686 30602529 61205058