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5134800 = 2435211389
BaseRepresentation
bin10011100101100111010000
3100122212121210
4103211213100
52303303200
6302020120
761434156
oct23454720
910585553
105134800
112997940
121877640
1310aa258
149793d6
156b6650
hex4e59d0

5134800 has 120 divisors (see below), whose sum is σ = 17989920. Its totient is φ = 1241600.

The previous prime is 5134793. The next prime is 5134841. The reversal of 5134800 is 84315.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13006 + ... + 13394.

It is an arithmetic number, because the mean of its divisors is an integer number (149916).

Almost surely, 25134800 is an apocalyptic number.

5134800 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 5134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994960).

5134800 is an abundant number, since it is smaller than the sum of its proper divisors (12855120).

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

5134800 is a wasteful number, since it uses less digits than its factorization.

5134800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5134800 is about 2266.0097087171. The cubic root of 5134800 is about 172.5206864500.

The spelling of 5134800 in words is "five million, one hundred thirty-four thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 389 400 440 528 550 600 660 778 825 880 1100 1167 1200 1320 1556 1650 1945 2200 2334 2640 3112 3300 3890 4279 4400 4668 5835 6224 6600 7780 8558 9336 9725 11670 12837 13200 15560 17116 18672 19450 21395 23340 25674 29175 31120 34232 38900 42790 46680 51348 58350 64185 68464 77800 85580 93360 102696 106975 116700 128370 155600 171160 205392 213950 233400 256740 320925 342320 427900 466800 513480 641850 855800 1026960 1283700 1711600 2567400 5134800