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3116900 = 225271439
BaseRepresentation
bin1011111000111101100100
312212100120202
423320331210
51244220100
6150450032
735331113
oct13707544
95770522
103116900
111839856
121063918
13851927
145b1c7a
154187d5
hex2f8f64

3116900 has 36 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 1226400.

The previous prime is 3116873. The next prime is 3116947. The reversal of 3116900 is 96113.

It is a super-2 number, since 2×31169002 = 19430131220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 6881 + ... + 7319.

It is an arithmetic number, because the mean of its divisors is an integer number (190960).

Almost surely, 23116900 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 3116900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

3116900 is an abundant number, since it is smaller than the sum of its proper divisors (3757660).

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

3116900 is a wasteful number, since it uses less digits than its factorization.

3116900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 3116900 is about 1765.4744404834. The cubic root of 3116900 is about 146.0744600485.

The spelling of 3116900 in words is "three million, one hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 439 710 878 1420 1756 1775 2195 3550 4390 7100 8780 10975 21950 31169 43900 62338 124676 155845 311690 623380 779225 1558450 3116900