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5283900 = 22335219103
BaseRepresentation
bin10100001010000000111100
3100221110011000
4110022000330
52323041100
6305130300
762624646
oct24120074
910843130
105283900
112a89966
121929990
13113008b
149b7896
156e5900
hex50a03c

5283900 has 144 divisors (see below), whose sum is σ = 18054400. Its totient is φ = 1321920.

The previous prime is 5283877. The next prime is 5283913. The reversal of 5283900 is 93825.

5283900 = T184 + T185 + ... + T335.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51249 + ... + 51351.

Almost surely, 25283900 is an apocalyptic number.

5283900 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 5283900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9027200).

5283900 is an abundant number, since it is smaller than the sum of its proper divisors (12770500).

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

5283900 is a wasteful number, since it uses less digits than its factorization.

5283900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5283900 is about 2298.6735305389. The cubic root of 5283900 is about 174.1746166203.

The spelling of 5283900 in words is "five million, two hundred eighty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 75 76 90 95 100 103 108 114 135 150 171 180 190 206 225 228 270 285 300 309 342 380 412 450 475 513 515 540 570 618 675 684 855 900 927 950 1026 1030 1140 1236 1350 1425 1545 1710 1854 1900 1957 2052 2060 2565 2575 2700 2781 2850 3090 3420 3708 3914 4275 4635 5130 5150 5562 5700 5871 6180 7725 7828 8550 9270 9785 10260 10300 11124 11742 12825 13905 15450 17100 17613 18540 19570 23175 23484 25650 27810 29355 30900 35226 39140 46350 48925 51300 52839 55620 58710 69525 70452 88065 92700 97850 105678 117420 139050 146775 176130 195700 211356 264195 278100 293550 352260 440325 528390 587100 880650 1056780 1320975 1761300 2641950 5283900