Search a number
-
+
5413800 = 2335271289
BaseRepresentation
bin10100101001101110101000
3101012001100010
4110221232220
52341220200
6312011520
764005450
oct24515650
911161303
105413800
113068517
121990ba0
131177242
14a0cd60
1571e150
hex529ba8

5413800 has 96 divisors (see below), whose sum is σ = 19195200. Its totient is φ = 1236480.

The previous prime is 5413777. The next prime is 5413813. The reversal of 5413800 is 83145.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 3556 + ... + 4844.

It is an arithmetic number, because the mean of its divisors is an integer number (199950).

Almost surely, 25413800 is an apocalyptic number.

5413800 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 5413800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9597600).

5413800 is an abundant number, since it is smaller than the sum of its proper divisors (13781400).

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

5413800 is a wasteful number, since it uses less digits than its factorization.

5413800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1306 counting only the distinct ones).

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

The square root of 5413800 is about 2326.7574003321. The cubic root of 5413800 is about 175.5903869596.

Adding to 5413800 its reverse (83145), we get a palindrome (5496945).

The spelling of 5413800 in words is "five million, four hundred thirteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1289 1400 2100 2578 3867 4200 5156 6445 7734 9023 10312 12890 15468 18046 19335 25780 27069 30936 32225 36092 38670 45115 51560 54138 64450 72184 77340 90230 96675 108276 128900 135345 154680 180460 193350 216552 225575 257800 270690 360920 386700 451150 541380 676725 773400 902300 1082760 1353450 1804600 2706900 5413800