| Base | Representation |
|---|---|
| bin | 10011000110010001000000 |
| 3 | 100102100111020 |
| 4 | 103012101000 |
| 5 | 2240201100 |
| 6 | 255145440 |
| 7 | 60360630 |
| oct | 23062100 |
| 9 | 10370436 |
| 10 | 5006400 |
| 11 | 290a423 |
| 12 | 1815280 |
| 13 | 1063989 |
| 14 | 9446c0 |
| 15 | 68d5a0 |
| hex | 4c6440 |
5006400 has 168 divisors, whose sum is σ = 18897600. Its totient is φ = 1136640.
The previous prime is 5006399. The next prime is 5006401. The reversal of 5006400 is 46005.
It is an interprime number because it is at equal distance from previous prime (5006399) and next prime (5006401).
It is a tau number, because it is divible by the number of its divisors (168).
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 5006400.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5006401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33526 + ... + 33674.
Almost surely, 25006400 is an apocalyptic number.
5006400 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 5006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9448800).
5006400 is an abundant number, since it is smaller than the sum of its proper divisors (13891200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5006400 is a wasteful number, since it uses less digits than its factorization.
5006400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 181 (or 166 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 15.
The square root of 5006400 is about 2237.4986033515. The cubic root of 5006400 is about 171.0705225343.
It can be divided in two parts, 500 and 6400, that multiplied together give a 5-th power (3200000 = 205).
The spelling of 5006400 in words is "five million, six thousand, four hundred".
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