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5971632 = 243472647
BaseRepresentation
bin10110110001111010110000
3102020101112120
4112301322300
53012043012
6331554240
7101521002
oct26617260
912211476
105971632
113409637
121bbb980
131311114
14b16372
157ce58c
hex5b1eb0

5971632 has 40 divisors (see below), whose sum is σ = 15760896. Its totient is φ = 1947456.

The previous prime is 5971627. The next prime is 5971639. The reversal of 5971632 is 2361795.

5971632 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 5971593 and 5971602.

It is not an unprimeable number, because it can be changed into a prime (5971639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 933 + ... + 3579.

Almost surely, 25971632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5971632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880448).

5971632 is an abundant number, since it is smaller than the sum of its proper divisors (9789264).

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

5971632 is a wasteful number, since it uses less digits than its factorization.

5971632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2699 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 5971632 is about 2443.6922883211. The cubic root of 5971632 is about 181.4252285565.

The spelling of 5971632 in words is "five million, nine hundred seventy-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 2647 5294 7941 10588 15882 21176 31764 42352 63528 124409 127056 248818 373227 497636 746454 995272 1492908 1990544 2985816 5971632