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5314200 = 2335217521
BaseRepresentation
bin10100010001011010011000
3100222222201020
4110101122120
52330023300
6305522440
763112203
oct24213230
910888636
105314200
112aaa701
121943420
131140ac8
149c493a
156ee8a0
hex511698

5314200 has 96 divisors (see below), whose sum is σ = 17476560. Its totient is φ = 1331200.

The previous prime is 5314171. The next prime is 5314201. The reversal of 5314200 is 24135.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5314200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5314201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9940 + ... + 10460.

Almost surely, 25314200 is an apocalyptic number.

5314200 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 5314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8738280).

5314200 is an abundant number, since it is smaller than the sum of its proper divisors (12162360).

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

5314200 is a wasteful number, since it uses less digits than its factorization.

5314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5314200 is about 2305.2548666037. The cubic root of 5314200 is about 174.5069112732.

Adding to 5314200 its reverse (24135), we get a palindrome (5338335).

The spelling of 5314200 in words is "five million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 521 600 680 850 1020 1042 1275 1563 1700 2040 2084 2550 2605 3126 3400 4168 5100 5210 6252 7815 8857 10200 10420 12504 13025 15630 17714 20840 26050 26571 31260 35428 39075 44285 52100 53142 62520 70856 78150 88570 104200 106284 132855 156300 177140 212568 221425 265710 312600 354280 442850 531420 664275 885700 1062840 1328550 1771400 2657100 5314200