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5434200 = 2332523019
BaseRepresentation
bin10100101110101101011000
3101020002022200
4110232231120
52342343300
6312250200
764122102
oct24565530
911202280
105434200
113081882
1219a0960
131183605
14a16572
15725200
hex52eb58

5434200 has 72 divisors (see below), whose sum is σ = 18255900. Its totient is φ = 1448640.

The previous prime is 5434189. The next prime is 5434213. The reversal of 5434200 is 24345.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 291 + ... + 3309.

Almost surely, 25434200 is an apocalyptic number.

5434200 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 5434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9127950).

5434200 is an abundant number, since it is smaller than the sum of its proper divisors (12821700).

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

5434200 is a wasteful number, since it uses less digits than its factorization.

5434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5434200 is about 2331.1370616075. The cubic root of 5434200 is about 175.8106607085.

Adding to 5434200 its reverse (24345), we get a palindrome (5458545).

The spelling of 5434200 in words is "five million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 3019 6038 9057 12076 15095 18114 24152 27171 30190 36228 45285 54342 60380 72456 75475 90570 108684 120760 135855 150950 181140 217368 226425 271710 301900 362280 452850 543420 603800 679275 905700 1086840 1358550 1811400 2717100 5434200