Search a number
-
+
1050000060 = 223537795987
BaseRepresentation
bin111110100101011…
…011101010111100
32201011202112022010
4332211123222330
54122300000220
6252105051220
735006565444
oct7645335274
92634675263
101050000060
1149977464a
12253786b10
131396c5615
149d645124
15622ab1e0
hex3e95babc

1050000060 has 96 divisors (see below), whose sum is σ = 3058191360. Its totient is φ = 268939008.

The previous prime is 1050000047. The next prime is 1050000073. The reversal of 1050000060 is 600000501.

It is an interprime number because it is at equal distance from previous prime (1050000047) and next prime (1050000073).

It is a super-2 number, since 2×10500000602 = 2205000252000007200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 172387 + ... + 178373.

It is an arithmetic number, because the mean of its divisors is an integer number (31856160).

Almost surely, 21050000060 is an apocalyptic number.

1050000060 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 1050000060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529095680).

1050000060 is an abundant number, since it is smaller than the sum of its proper divisors (2008191300).

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

1050000060 is a wasteful number, since it uses less digits than its factorization.

1050000060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115 (or 6113 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1050000060 is about 32403.7044178594. The cubic root of 1050000060 is about 1016.3963761748.

Adding to 1050000060 its reverse (600000501), we get a palindrome (1650000561).

The spelling of 1050000060 in words is "one billion, fifty million, sixty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 79 111 148 158 185 222 237 316 370 395 444 474 555 740 790 948 1110 1185 1580 2220 2370 2923 4740 5846 5987 8769 11692 11974 14615 17538 17961 23948 29230 29935 35076 35922 43845 58460 59870 71844 87690 89805 119740 175380 179610 221519 359220 443038 472973 664557 886076 945946 1107595 1329114 1418919 1891892 2215190 2364865 2658228 2837838 3322785 4430380 4729730 5675676 6645570 7094595 9459460 13291140 14189190 17500001 28378380 35000002 52500003 70000004 87500005 105000006 175000010 210000012 262500015 350000020 525000030 1050000060