Search a number
-
+
42177060 = 22325234317
BaseRepresentation
bin1010000011100…
…1001000100100
32221100211001100
42200321020210
541244131220
64104000100
71021333122
oct240711044
987324040
1042177060
1121898282
1212160030
138979753
14585c912
153a81d90
hex2839224

42177060 has 36 divisors (see below), whose sum is σ = 127937628. Its totient is φ = 11247168.

The previous prime is 42177007. The next prime is 42177061. The reversal of 42177060 is 6077124.

It can be written as a sum of positive squares in 2 ways, for example, as 23097636 + 19079424 = 4806^2 + 4368^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (42177061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116979 + ... + 117338.

It is an arithmetic number, because the mean of its divisors is an integer number (3553823).

Almost surely, 242177060 is an apocalyptic number.

It is an amenable number.

42177060 is an abundant number, since it is smaller than the sum of its proper divisors (85760568).

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

42177060 is a wasteful number, since it uses less digits than its factorization.

42177060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234332 (or 234327 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 42177060 is about 6494.3868070819. The cubic root of 42177060 is about 348.0904441890.

The spelling of 42177060 in words is "forty-two million, one hundred seventy-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 234317 468634 702951 937268 1171585 1405902 2108853 2343170 2811804 3514755 4217706 4686340 7029510 8435412 10544265 14059020 21088530 42177060