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5780600 = 235274129
BaseRepresentation
bin10110000011010001111000
3101212200111022
4112003101320
52434434400
6323522012
7100064030
oct26032170
911780438
105780600
113299061
121b29308
131275197
14aa68c0
15792b85
hex583478

5780600 has 48 divisors (see below), whose sum is σ = 15363600. Its totient is φ = 1981440.

The previous prime is 5780587. The next prime is 5780603. The reversal of 5780600 is 60875.

It is a self number, because there is not a number n which added to its sum of digits gives 5780600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5780603) 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, 665 + ... + 3464.

It is an arithmetic number, because the mean of its divisors is an integer number (320075).

Almost surely, 25780600 is an apocalyptic number.

5780600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5780600 is an abundant number, since it is smaller than the sum of its proper divisors (9583000).

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

5780600 is a wasteful number, since it uses less digits than its factorization.

5780600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 5780600 is about 2404.2878363457. The cubic root of 5780600 is about 179.4696322284.

The spelling of 5780600 in words is "five million, seven hundred eighty thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 4129 8258 16516 20645 28903 33032 41290 57806 82580 103225 115612 144515 165160 206450 231224 289030 412900 578060 722575 825800 1156120 1445150 2890300 5780600