Search a number
-
+
5738560 = 26579227
BaseRepresentation
bin10101111001000001000000
3101210112211021
4111321001000
52432113220
6322555224
766530332
oct25710100
911715737
105738560
11326a513
121b08b14
13125bcc9
14a95452
157854aa
hex579040

5738560 has 56 divisors (see below), whose sum is σ = 13898880. Its totient is φ = 2256384.

The previous prime is 5738543. The next prime is 5738573. The reversal of 5738560 is 658375.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25167 + ... + 25393.

Almost surely, 25738560 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 5738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949440).

5738560 is an abundant number, since it is smaller than the sum of its proper divisors (8160320).

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

5738560 is a wasteful number, since it uses less digits than its factorization.

5738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 5738560 is about 2395.5291690981. The cubic root of 5738560 is about 179.0335028787.

The spelling of 5738560 in words is "five million, seven hundred thirty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 158 160 227 316 320 395 454 632 790 908 1135 1264 1580 1816 2270 2528 3160 3632 4540 5056 6320 7264 9080 12640 14528 17933 18160 25280 35866 36320 71732 72640 89665 143464 179330 286928 358660 573856 717320 1147712 1434640 2869280 5738560