Search a number
-
+
5260560 = 243523953
BaseRepresentation
bin10100000100010100010000
3100220021010120
4110010110100
52321314220
6304430240
762466624
oct24042420
910807116
105260560
112a73378
121918380
131122576
149ad184
156dda40
hex504510

5260560 has 80 divisors (see below), whose sum is σ = 17034624. Its totient is φ = 1340416.

The previous prime is 5260559. The next prime is 5260561. The reversal of 5260560 is 650625.

It is an interprime number because it is at equal distance from previous prime (5260559) and next prime (5260561).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5260560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5260561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5044 + ... + 5996.

Almost surely, 25260560 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 5260560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8517312).

5260560 is an abundant number, since it is smaller than the sum of its proper divisors (11774064).

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

5260560 is a wasteful number, since it uses less digits than its factorization.

5260560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5260560 is about 2293.5910707883. The cubic root of 5260560 is about 173.9177838563.

The spelling of 5260560 in words is "five million, two hundred sixty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 953 1104 1380 1840 1906 2760 2859 3812 4765 5520 5718 7624 9530 11436 14295 15248 19060 21919 22872 28590 38120 43838 45744 57180 65757 76240 87676 109595 114360 131514 175352 219190 228720 263028 328785 350704 438380 526056 657570 876760 1052112 1315140 1753520 2630280 5260560