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5230400 = 26527467
BaseRepresentation
bin10011111100111101000000
3100211201202112
4103330331000
52314333100
6304034452
762312660
oct23747500
910751675
105230400
112a5274a
121902a28
131111916
149a21a0
156d4b35
hex4fcf40

5230400 has 84 divisors (see below), whose sum is σ = 14740128. Its totient is φ = 1789440.

The previous prime is 5230399. The next prime is 5230403. The reversal of 5230400 is 40325.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5230403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10967 + ... + 11433.

Almost surely, 25230400 is an apocalyptic number.

5230400 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 5230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370064).

5230400 is an abundant number, since it is smaller than the sum of its proper divisors (9509728).

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

5230400 is a wasteful number, since it uses less digits than its factorization.

5230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 5230400 is about 2287.0067774276. The cubic root of 5230400 is about 173.5847764263.

Adding to 5230400 its reverse (40325), we get a palindrome (5270725).

The spelling of 5230400 in words is "five million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 467 560 700 800 934 1120 1400 1600 1868 2240 2335 2800 3269 3736 4670 5600 6538 7472 9340 11200 11675 13076 14944 16345 18680 23350 26152 29888 32690 37360 46700 52304 65380 74720 81725 93400 104608 130760 149440 163450 186800 209216 261520 326900 373600 523040 653800 747200 1046080 1307600 2615200 5230400