Search a number
-
+
7561061130 = 23574104971
BaseRepresentation
bin1110000101010110…
…01010001100001010
3201111221110200222010
413002223022030022
5110441112424010
63250135440350
7355240650000
oct70253121412
921457420863
107561061130
113230027157
1215702260b6
13936619c8c
1451a288a70
152e3be4620
hex1c2aca30a

7561061130 has 80 divisors (see below), whose sum is σ = 21169913184. Its totient is φ = 1728226080.

The previous prime is 7561061119. The next prime is 7561061197. The reversal of 7561061130 is 311601657.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19545 + ... + 124515.

Almost surely, 27561061130 is an apocalyptic number.

7561061130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7561061130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584956592).

7561061130 is an abundant number, since it is smaller than the sum of its proper divisors (13608852054).

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

7561061130 is a wasteful number, since it uses less digits than its factorization.

7561061130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105009 (or 104988 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 7561061130 is about 86954.3623402529. The cubic root of 7561061130 is about 1962.7316079176.

Adding to 7561061130 its reverse (311601657), we get a palindrome (7872662787).

The spelling of 7561061130 in words is "seven billion, five hundred sixty-one million, sixty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1470 1715 2058 2401 3430 4802 5145 7203 10290 12005 14406 24010 36015 72030 104971 209942 314913 524855 629826 734797 1049710 1469594 1574565 2204391 3149130 3673985 4408782 5143579 7347970 10287158 11021955 15430737 22043910 25717895 30861474 36005053 51435790 72010106 77153685 108015159 154307370 180025265 216030318 252035371 360050530 504070742 540075795 756106113 1080151590 1260176855 1512212226 2520353710 3780530565 7561061130