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5682900 = 2235219997
BaseRepresentation
bin10101101011011011010100
3101200201110210
4111223123110
52423323100
6321445420
766206136
oct25533324
911621423
105682900
113231713
121aa0870
13123c882
14a7d056
15773c50
hex56b6d4

5682900 has 72 divisors (see below), whose sum is σ = 17325280. Its totient is φ = 1434240.

The previous prime is 5682899. The next prime is 5682907. The reversal of 5682900 is 92865.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5682907) 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 23 ways as a sum of consecutive naturals, for example, 5202 + ... + 6198.

Almost surely, 25682900 is an apocalyptic number.

5682900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5682900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8662640).

5682900 is an abundant number, since it is smaller than the sum of its proper divisors (11642380).

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

5682900 is a wasteful number, since it uses less digits than its factorization.

5682900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 5682900 is about 2383.8833864097. The cubic root of 5682900 is about 178.4527882421.

The spelling of 5682900 in words is "five million, six hundred eighty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 997 1140 1425 1900 1994 2850 2991 3988 4985 5700 5982 9970 11964 14955 18943 19940 24925 29910 37886 49850 56829 59820 74775 75772 94715 99700 113658 149550 189430 227316 284145 299100 378860 473575 568290 947150 1136580 1420725 1894300 2841450 5682900