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5285700 = 2232527839
BaseRepresentation
bin10100001010011101000100
3100221112121200
4110022131010
52323120300
6305142500
762633130
oct24123504
910845550
105285700
112a90252
12192aa30
131130b44
149b83c0
156e6200
hex50a744

5285700 has 108 divisors (see below), whose sum is σ = 18957120. Its totient is φ = 1206720.

The previous prime is 5285681. The next prime is 5285713. The reversal of 5285700 is 75825.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5881 + ... + 6719.

Almost surely, 25285700 is an apocalyptic number.

5285700 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 5285700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9478560).

5285700 is an abundant number, since it is smaller than the sum of its proper divisors (13671420).

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

5285700 is a wasteful number, since it uses less digits than its factorization.

5285700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5285700 is about 2299.0650273535. The cubic root of 5285700 is about 174.1943923363.

The spelling of 5285700 in words is "five million, two hundred eighty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 839 900 1050 1260 1575 1678 2100 2517 3150 3356 4195 5034 5873 6300 7551 8390 10068 11746 12585 15102 16780 17619 20975 23492 25170 29365 30204 35238 37755 41950 50340 52857 58730 62925 70476 75510 83900 88095 105714 117460 125850 146825 151020 176190 188775 211428 251700 264285 293650 352380 377550 440475 528570 587300 755100 880950 1057140 1321425 1761900 2642850 5285700