Search a number
-
+
560122880 = 2105313529
BaseRepresentation
bin100001011000101…
…100110000000000
31110000222012010212
4201120230300000
52121342413010
6131325213252
716610652212
oct4130546000
91400865125
10560122880
112681a1679
12137701228
138c075c75
14545665b2
1534292505
hex2162cc00

560122880 has 88 divisors (see below), whose sum is σ = 1387374720. Its totient is φ = 216760320.

The previous prime is 560122847. The next prime is 560122883. The reversal of 560122880 is 88221065.

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 (560122883) 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, 156956 + ... + 160484.

Almost surely, 2560122880 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 560122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693687360).

560122880 is an abundant number, since it is smaller than the sum of its proper divisors (827251840).

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

560122880 is a wasteful number, since it uses less digits than its factorization.

560122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 560122880 is about 23666.9153038583. The cubic root of 560122880 is about 824.3173440690.

The spelling of 560122880 in words is "five hundred sixty million, one hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 512 620 640 992 1024 1240 1280 1984 2480 2560 3529 3968 4960 5120 7058 7936 9920 14116 15872 17645 19840 28232 31744 35290 39680 56464 70580 79360 109399 112928 141160 158720 218798 225856 282320 437596 451712 546995 564640 875192 903424 1093990 1129280 1750384 1806848 2187980 2258560 3500768 3613696 4375960 4517120 7001536 8751920 9034240 14003072 17503840 18068480 28006144 35007680 56012288 70015360 112024576 140030720 280061440 560122880