Search a number
-
+
561746160 = 243252293407
BaseRepresentation
bin100001011110111…
…001000011110000
31110011000122212100
4201132321003300
52122301334120
6131424100400
716630522623
oct4136710360
91404018770
10561746160
11269100228
12138164700
138c4c3aa1
1454869dba
15344b3490
hex217b90f0

561746160 has 120 divisors (see below), whose sum is σ = 1895325120. Its totient is φ = 149101056.

The previous prime is 561746149. The next prime is 561746179. The reversal of 561746160 is 61647165.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163177 + ... + 166583.

It is an arithmetic number, because the mean of its divisors is an integer number (15794376).

Almost surely, 2561746160 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 561746160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947662560).

561746160 is an abundant number, since it is smaller than the sum of its proper divisors (1333578960).

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

561746160 is a wasteful number, since it uses less digits than its factorization.

561746160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 561746160 is about 23701.1847805126. The cubic root of 561746160 is about 825.1128881336.

The spelling of 561746160 in words is "five hundred sixty-one million, seven hundred forty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 229 240 360 458 687 720 916 1145 1374 1832 2061 2290 2748 3407 3435 3664 4122 4580 5496 6814 6870 8244 9160 10221 10305 10992 13628 13740 16488 17035 18320 20442 20610 27256 27480 30663 32976 34070 40884 41220 51105 54512 54960 61326 68140 81768 82440 102210 122652 136280 153315 163536 164880 204420 245304 272560 306630 408840 490608 613260 780203 817680 1226520 1560406 2340609 2453040 3120812 3901015 4681218 6241624 7021827 7802030 9362436 11703045 12483248 14043654 15604060 18724872 23406090 28087308 31208120 35109135 37449744 46812180 56174616 62416240 70218270 93624360 112349232 140436540 187248720 280873080 561746160