Search a number
-
+
706560 = 2113523
BaseRepresentation
bin10101100100000000000
31022220012220
42230200000
5140102220
623051040
76001641
oct2544000
91286186
10706560
11442938
122a0a80
131b97aa
141456c8
15de540
hexac800

706560 has 96 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 180224.

The previous prime is 706547. The next prime is 706561. The reversal of 706560 is 65607.

It is a tau number, because it is divible by the number of its divisors (96).

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 706560.

It is not an unprimeable number, because it can be changed into a prime (706561) by changing a digit.

706560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30709 + ... + 30731.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2706560 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 706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360).

706560 is an abundant number, since it is smaller than the sum of its proper divisors (1652160).

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

706560 is a wasteful number, since it uses less digits than its factorization.

706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 706560 is about 840.5712343401. The cubic root of 706560 is about 89.0669025217.

The spelling of 706560 in words is "seven hundred six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 512 552 640 690 736 768 920 960 1024 1104 1280 1380 1472 1536 1840 1920 2048 2208 2560 2760 2944 3072 3680 3840 4416 5120 5520 5888 6144 7360 7680 8832 10240 11040 11776 14720 15360 17664 22080 23552 29440 30720 35328 44160 47104 58880 70656 88320 117760 141312 176640 235520 353280 706560