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5326880 = 255132197
BaseRepresentation
bin10100010100100000100000
3101000122002212
4110110200200
52330430010
6310101252
763164156
oct24244040
911018085
105326880
113009189
12194a828
131146800
149c93d6
15703505
hex514820

5326880 has 72 divisors (see below), whose sum is σ = 13696452. Its totient is φ = 1956864.

The previous prime is 5326847. The next prime is 5326889. The reversal of 5326880 is 886235.

It can be written as a sum of positive squares in 6 ways, for example, as 1926544 + 3400336 = 1388^2 + 1844^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (5326889) 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, 26942 + ... + 27138.

Almost surely, 25326880 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 5326880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6848226).

5326880 is an abundant number, since it is smaller than the sum of its proper divisors (8369572).

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

5326880 is a wasteful number, since it uses less digits than its factorization.

5326880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 5326880 is about 2308.0034662019. The cubic root of 5326880 is about 174.6455956816.

The spelling of 5326880 in words is "five million, three hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 197 208 260 338 394 416 520 676 788 845 985 1040 1352 1576 1690 1970 2080 2561 2704 3152 3380 3940 5122 5408 6304 6760 7880 10244 12805 13520 15760 20488 25610 27040 31520 33293 40976 51220 66586 81952 102440 133172 166465 204880 266344 332930 409760 532688 665860 1065376 1331720 2663440 5326880