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5681200 = 245272029
BaseRepresentation
bin10101101011000000110000
3101200122010211
4111223000300
52423244300
6321433504
766201160
oct25530060
911618124
105681200
113230408
121a9b894
13123bb75
14a7c5a0
157734ba
hex56b030

5681200 has 60 divisors (see below), whose sum is σ = 15606640. Its totient is φ = 1946880.

The previous prime is 5681191. The next prime is 5681201. The reversal of 5681200 is 21865.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5681201) 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, 1786 + ... + 3814.

Almost surely, 25681200 is an apocalyptic number.

5681200 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 5681200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7803320).

5681200 is an abundant number, since it is smaller than the sum of its proper divisors (9925440).

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

5681200 is a wasteful number, since it uses less digits than its factorization.

5681200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 5681200 is about 2383.5267986746. The cubic root of 5681200 is about 178.4349921641.

The spelling of 5681200 in words is "five million, six hundred eighty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2029 2800 4058 8116 10145 14203 16232 20290 28406 32464 40580 50725 56812 71015 81160 101450 113624 142030 162320 202900 227248 284060 355075 405800 568120 710150 811600 1136240 1420300 2840600 5681200