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5676100 = 2252311831
BaseRepresentation
bin10101101001110001000100
3101200101010221
4111221301010
52423113400
6321354124
766150253
oct25516104
911611127
105676100
1132275a1
121a98944
131239751
14a7a79a
15771c1a
hex569c44

5676100 has 36 divisors (see below), whose sum is σ = 12721408. Its totient is φ = 2196000.

The previous prime is 5676089. The next prime is 5676107. The reversal of 5676100 is 16765.

5676100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56761002 = 64436222420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5676107) 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, 2185 + ... + 4015.

Almost surely, 25676100 is an apocalyptic number.

5676100 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 5676100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360704).

5676100 is an abundant number, since it is smaller than the sum of its proper divisors (7045308).

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

5676100 is a wasteful number, since it uses less digits than its factorization.

5676100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 5676100 is about 2382.4567152416. The cubic root of 5676100 is about 178.3815826202.

It can be divided in two parts, 5676 and 100, that added together give a square (5776 = 762).

The spelling of 5676100 in words is "five million, six hundred seventy-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 1831 3100 3662 7324 9155 18310 36620 45775 56761 91550 113522 183100 227044 283805 567610 1135220 1419025 2838050 5676100