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5326200 = 23325211269
BaseRepresentation
bin10100010100010101111000
3101000121011200
4110110111320
52330414300
6310054200
763162165
oct24242570
911017150
105326200
113008720
12194a360
1311463c9
149c906c
15703200
hex514578

5326200 has 144 divisors (see below), whose sum is σ = 19585800. Its totient is φ = 1286400.

The previous prime is 5326199. The next prime is 5326201. The reversal of 5326200 is 26235.

It is an interprime number because it is at equal distance from previous prime (5326199) and next prime (5326201).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5326201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19666 + ... + 19934.

Almost surely, 25326200 is an apocalyptic number.

5326200 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 5326200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9792900).

5326200 is an abundant number, since it is smaller than the sum of its proper divisors (14259600).

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

5326200 is a wasteful number, since it uses less digits than its factorization.

5326200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5326200 is about 2307.8561480300. The cubic root of 5326200 is about 174.6381639355.

The spelling of 5326200 in words is "five million, three hundred twenty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 269 275 300 330 360 396 440 450 495 538 550 600 660 792 807 825 900 990 1076 1100 1320 1345 1614 1650 1800 1980 2152 2200 2421 2475 2690 2959 3228 3300 3960 4035 4842 4950 5380 5918 6456 6600 6725 8070 8877 9684 9900 10760 11836 12105 13450 14795 16140 17754 19368 19800 20175 23672 24210 26631 26900 29590 32280 35508 40350 44385 48420 53262 53800 59180 60525 71016 73975 80700 88770 96840 106524 118360 121050 133155 147950 161400 177540 213048 221925 242100 266310 295900 355080 443850 484200 532620 591800 665775 887700 1065240 1331550 1775400 2663100 5326200