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5961820 = 2251929541
BaseRepresentation
bin10110101111100001011100
3102012220002011
4112233201130
53011234240
6331441004
7101450254
oct26574134
912186064
105961820
113402227
121bb6164
131309807
14b12964
157cb6ea
hex5af85c

5961820 has 48 divisors (see below), whose sum is σ = 13658400. Its totient is φ = 2177280.

The previous prime is 5961797. The next prime is 5961833. The reversal of 5961820 is 281695.

5961820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10750 + ... + 11290.

It is an arithmetic number, because the mean of its divisors is an integer number (284550).

Almost surely, 25961820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5961820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829200).

5961820 is an abundant number, since it is smaller than the sum of its proper divisors (7696580).

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

5961820 is a wasteful number, since it uses less digits than its factorization.

5961820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 5961820 is about 2441.6838452183. The cubic root of 5961820 is about 181.3258073698.

The spelling of 5961820 in words is "five million, nine hundred sixty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 541 551 580 1082 1102 2164 2204 2705 2755 5410 5510 10279 10820 11020 15689 20558 31378 41116 51395 62756 78445 102790 156890 205580 298091 313780 596182 1192364 1490455 2980910 5961820