Search a number
-
+
561340120 = 235113833331
BaseRepresentation
bin100001011101010…
…101111011011000
31110010021000212211
4201131111323120
52122200340440
6131411244504
716624212055
oct4135257330
91403230784
10561340120
11268953160
12137ba9734
138c3b1023
14547a202c
1534432eea
hex21755ed8

561340120 has 64 divisors (see below), whose sum is σ = 1381847040. Its totient is φ = 203529600.

The previous prime is 561340049. The next prime is 561340121. The reversal of 561340120 is 21043165.

It is a super-2 number, since 2×5613401202 = 630205460643228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 561340091 and 561340100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561340121) 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, 166855 + ... + 170185.

It is an arithmetic number, because the mean of its divisors is an integer number (21591360).

Almost surely, 2561340120 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 561340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690923520).

561340120 is an abundant number, since it is smaller than the sum of its proper divisors (820506920).

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

561340120 is a wasteful number, since it uses less digits than its factorization.

561340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 561340120 is about 23692.6174155580. The cubic root of 561340120 is about 824.9140381815.

Adding to 561340120 its reverse (21043165), we get a palindrome (582383285).

The spelling of 561340120 in words is "five hundred sixty-one million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 383 440 766 1532 1915 3064 3331 3830 4213 6662 7660 8426 13324 15320 16655 16852 21065 26648 33310 33704 36641 42130 66620 73282 84260 133240 146564 168520 183205 293128 366410 732820 1275773 1465640 2551546 5103092 6378865 10206184 12757730 14033503 25515460 28067006 51030920 56134012 70167515 112268024 140335030 280670060 561340120