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5143200 = 253522143
BaseRepresentation
bin10011100111101010100000
3100200022010220
4103213222200
52304040300
6302123040
761500516
oct23475240
910608126
105143200
1129a3187
121880480
1310b101a
1497c4b6
156b8da0
hex4e7aa0

5143200 has 72 divisors (see below), whose sum is σ = 16748928. Its totient is φ = 1370880.

The previous prime is 5143189. The next prime is 5143217. The reversal of 5143200 is 23415.

5143200 is nontrivially palindromic in base 7.

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 5143200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1329 + ... + 3471.

It is an arithmetic number, because the mean of its divisors is an integer number (232624).

Almost surely, 25143200 is an apocalyptic number.

5143200 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 5143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8374464).

5143200 is an abundant number, since it is smaller than the sum of its proper divisors (11605728).

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

5143200 is a wasteful number, since it uses less digits than its factorization.

5143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2153 counting only the distinct ones).

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

The square root of 5143200 is about 2267.8624296901. The cubic root of 5143200 is about 172.6147105114.

Adding to 5143200 its reverse (23415), we get a palindrome (5166615).

The spelling of 5143200 in words is "five million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2143 2400 4286 6429 8572 10715 12858 17144 21430 25716 32145 34288 42860 51432 53575 64290 68576 85720 102864 107150 128580 160725 171440 205728 214300 257160 321450 342880 428600 514320 642900 857200 1028640 1285800 1714400 2571600 5143200