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5631136 = 257231093
BaseRepresentation
bin10101011110110010100000
3101121002110121
4111132302200
52420144021
6320410024
765602210
oct25366240
911532417
105631136
1131a6835
121a76914
131222144
14a68240
15763741
hex55eca0

5631136 has 48 divisors (see below), whose sum is σ = 13233024. Its totient is φ = 2306304.

The previous prime is 5631121. The next prime is 5631169. The reversal of 5631136 is 6311365.

It is a self number, because there is not a number n which added to its sum of digits gives 5631136.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4606 + ... + 5698.

It is an arithmetic number, because the mean of its divisors is an integer number (275688).

Almost surely, 25631136 is an apocalyptic number.

5631136 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 5631136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616512).

5631136 is an abundant number, since it is smaller than the sum of its proper divisors (7601888).

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

5631136 is a wasteful number, since it uses less digits than its factorization.

5631136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1125 counting only the distinct ones).

The product of its digits is 1620, while the sum is 25.

The square root of 5631136 is about 2373.0014749258. The cubic root of 5631136 is about 177.9093086799.

The spelling of 5631136 in words is "five million, six hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1093 1288 2186 2576 4372 5152 7651 8744 15302 17488 25139 30604 34976 50278 61208 100556 122416 175973 201112 244832 351946 402224 703892 804448 1407784 2815568 5631136