Search a number
-
+
39090820 = 22517114973
BaseRepresentation
bin1001010100011…
…1101010000100
32201120000112011
42111013222010
540001401240
63513504004
7653160256
oct225075204
981500464
1039090820
112007a56a
1211112004
138138a82
145297cd6
1536726ea
hex2547a84

39090820 has 24 divisors (see below), whose sum is σ = 86920344. Its totient is φ = 14716416.

The previous prime is 39090797. The next prime is 39090829. The reversal of 39090820 is 2809093.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19430464 + 19660356 = 4408^2 + 4434^2 .

It is not an unprimeable number, because it can be changed into a prime (39090829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57147 + ... + 57826.

It is an arithmetic number, because the mean of its divisors is an integer number (3621681).

Almost surely, 239090820 is an apocalyptic number.

It is an amenable number.

39090820 is an abundant number, since it is smaller than the sum of its proper divisors (47829524).

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

39090820 is a wasteful number, since it uses less digits than its factorization.

39090820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114999 (or 114997 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 39090820 is about 6252.2651895133. The cubic root of 39090820 is about 339.3841793939.

The spelling of 39090820 in words is "thirty-nine million, ninety thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 114973 229946 459892 574865 1149730 1954541 2299460 3909082 7818164 9772705 19545410 39090820