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5132736 = 263271967
BaseRepresentation
bin10011100101000111000000
3100122202210100
4103211013000
52303221421
6302002400
761425150
oct23450700
910582710
105132736
112996334
121876400
1310a932b
14978760
156b5c26
hex4e51c0

5132736 has 168 divisors, whose sum is σ = 17962880. Its totient is φ = 1368576.

The previous prime is 5132689. The next prime is 5132741. The reversal of 5132736 is 6372315.

It can be divided in two parts, 513 and 2736, that added together give a square (3249 = 572).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76575 + ... + 76641.

Almost surely, 25132736 is an apocalyptic number.

5132736 is a gapful number since it is divisible by the number (56) 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 5132736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8981440).

5132736 is an abundant number, since it is smaller than the sum of its proper divisors (12830144).

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

5132736 is a wasteful number, since it uses less digits than its factorization.

5132736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 98 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 5132736 is about 2265.5542368259. The cubic root of 5132736 is about 172.4975677036.

The spelling of 5132736 in words is "five million, one hundred thirty-two thousand, seven hundred thirty-six".