Search a number
-
+
1000056060 = 2232535315739
BaseRepresentation
bin111011100110111…
…010010011111100
32120200210010000100
4323212322103330
54022003243220
6243122401100
733532223223
oct7346722374
92520703010
101000056060
11473561a13
1223ab00190
1312c259863
1496b63cba
155cbe2d90
hex3b9ba4fc

1000056060 has 72 divisors (see below), whose sum is σ = 3042290160. Its totient is φ = 265909248.

The previous prime is 1000056041. The next prime is 1000056073. The reversal of 1000056060 is 606500001.

1000056060 is a `hidden beast` number, since 100 + 0 + 0 + 560 + 6 + 0 = 666.

It is a super-2 number, since 2×10000560602 = 2000224246285447200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55671 + ... + 71409.

It is an arithmetic number, because the mean of its divisors is an integer number (42254030).

Almost surely, 21000056060 is an apocalyptic number.

1000056060 is a gapful number since it is divisible by the number (10) 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 1000056060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521145080).

1000056060 is an abundant number, since it is smaller than the sum of its proper divisors (2042234100).

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

1000056060 is a wasteful number, since it uses less digits than its factorization.

1000056060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16107 (or 16102 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1000056060 is about 31623.6629756896. The cubic root of 1000056060 is about 1000.0186863175.

Adding to 1000056060 its reverse (606500001), we get a palindrome (1606556061).

The spelling of 1000056060 in words is "one billion, fifty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 1059 1412 1765 2118 3177 3530 4236 5295 6354 7060 10590 12708 15739 15885 21180 31478 31770 47217 62956 63540 78695 94434 141651 157390 188868 236085 283302 314780 472170 566604 708255 944340 1416510 2833020 5555867 11111734 16667601 22223468 27779335 33335202 50002803 55558670 66670404 83338005 100005606 111117340 166676010 200011212 250014015 333352020 500028030 1000056060