Search a number
-
+
60010000 = 245417353
BaseRepresentation
bin1110010011101…
…0111000010000
311011220211020121
43210322320100
5110330310000
65542120024
71326035161
oct344727020
9134824217
1060010000
1130968446
1218120014
13c58169b
147d81768
155405b1a
hex393ae10

60010000 has 100 divisors (see below), whose sum is σ = 154272492. Its totient is φ = 22528000.

The previous prime is 60009997. The next prime is 60010001. The reversal of 60010000 is 1006.

It can be written as a sum of positive squares in 10 ways, for example, as 40755456 + 19254544 = 6384^2 + 4388^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60010001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169824 + ... + 170176.

Almost surely, 260010000 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 60010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77136246).

60010000 is an abundant number, since it is smaller than the sum of its proper divisors (94262492).

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

60010000 is a wasteful number, since it uses less digits than its factorization.

60010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 60010000 is about 7746.6121627457. The cubic root of 60010000 is about 391.5085121734.

Adding to 60010000 its reverse (1006), we get a palindrome (60011006).

The spelling of 60010000 in words is "sixty million, ten thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 353 400 425 500 625 680 706 850 1000 1250 1360 1412 1700 1765 2000 2125 2500 2824 3400 3530 4250 5000 5648 6001 6800 7060 8500 8825 10000 10625 12002 14120 17000 17650 21250 24004 28240 30005 34000 35300 42500 44125 48008 60010 70600 85000 88250 96016 120020 141200 150025 170000 176500 220625 240040 300050 353000 441250 480080 600100 706000 750125 882500 1200200 1500250 1765000 2400400 3000500 3530000 3750625 6001000 7501250 12002000 15002500 30005000 60010000