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561056700 = 2235219257383
BaseRepresentation
bin100001011100010…
…000101110111100
31110002201122002210
4201130100232330
52122112303300
6131401220420
716621621551
oct4134205674
91402648083
10561056700
1126877a226
12137a91710
138c312019
145472aa28
15343c9050
hex21710bbc

561056700 has 144 divisors (see below), whose sum is σ = 1719889920. Its totient is φ = 140820480.

The previous prime is 561056651. The next prime is 561056701. The reversal of 561056700 is 7650165.

It is a super-2 number, since 2×5610567002 = 629569241229780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561056701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1464709 + ... + 1465091.

It is an arithmetic number, because the mean of its divisors is an integer number (11943680).

Almost surely, 2561056700 is an apocalyptic number.

561056700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561056700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859944960).

561056700 is an abundant number, since it is smaller than the sum of its proper divisors (1158833220).

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

561056700 is a wasteful number, since it uses less digits than its factorization.

561056700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 561056700 is about 23686.6354723502. The cubic root of 561056700 is about 824.7751820837.

The spelling of 561056700 in words is "five hundred sixty-one million, fifty-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 257 285 300 380 383 475 514 570 766 771 950 1028 1140 1149 1285 1425 1532 1542 1900 1915 2298 2570 2850 3084 3830 3855 4596 4883 5140 5700 5745 6425 7277 7660 7710 9575 9766 11490 12850 14554 14649 15420 19150 19275 19532 21831 22980 24415 25700 28725 29108 29298 36385 38300 38550 43662 48830 57450 58596 72770 73245 77100 87324 97660 98431 109155 114900 122075 145540 146490 181925 196862 218310 244150 292980 295293 363850 366225 393724 436620 488300 492155 545775 590586 727700 732450 984310 1091550 1181172 1464900 1476465 1870189 1968620 2183100 2460775 2952930 3740378 4921550 5610567 5905860 7382325 7480756 9350945 9843100 11221134 14764650 18701890 22442268 28052835 29529300 37403780 46754725 56105670 93509450 112211340 140264175 187018900 280528350 561056700