Search a number
-
+
5317760 = 27571187
BaseRepresentation
bin10100010010010010000000
3101000011121002
4110102102000
52330132020
6305551132
763125450
oct24222200
911004532
105317760
113002348
1219454a8
131142606
149c5d60
15700975
hex512480

5317760 has 64 divisors (see below), whose sum is σ = 14541120. Its totient is φ = 1821696.

The previous prime is 5317757. The next prime is 5317769. The reversal of 5317760 is 677135.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5317769) 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, 3887 + ... + 5073.

It is an arithmetic number, because the mean of its divisors is an integer number (227205).

Almost surely, 25317760 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 5317760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270560).

5317760 is an abundant number, since it is smaller than the sum of its proper divisors (9223360).

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

5317760 is a wasteful number, since it uses less digits than its factorization.

5317760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 5317760 is about 2306.0268862266. The cubic root of 5317760 is about 174.5458701589.

The spelling of 5317760 in words is "five million, three hundred seventeen thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 1187 2240 2374 4480 4748 5935 8309 9496 11870 16618 18992 23740 33236 37984 41545 47480 66472 75968 83090 94960 132944 151936 166180 189920 265888 332360 379840 531776 664720 759680 1063552 1329440 2658880 5317760