Search a number
-
+
4680060 = 22357111013
BaseRepresentation
bin10001110110100101111100
322210202211120
4101312211330
52144230220
6244150540
754531330
oct21664574
98722746
104680060
112707220
121698450
13c7b288
1489b7c0
15626a40
hex47697c

4680060 has 96 divisors (see below), whose sum is σ = 16353792. Its totient is φ = 971520.

The previous prime is 4680043. The next prime is 4680079. The reversal of 4680060 is 600864.

4680060 = T24 + T25 + ... + T303.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4680060.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4114 + ... + 5126.

It is an arithmetic number, because the mean of its divisors is an integer number (170352).

Almost surely, 24680060 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 4680060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176896).

4680060 is an abundant number, since it is smaller than the sum of its proper divisors (11673732).

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

4680060 is a wasteful number, since it uses less digits than its factorization.

4680060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4680060 is about 2163.3446327389. The cubic root of 4680060 is about 167.2696469688.

The spelling of 4680060 in words is "four million, six hundred eighty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1013 1155 1540 2026 2310 3039 4052 4620 5065 6078 7091 10130 11143 12156 14182 15195 20260 21273 22286 28364 30390 33429 35455 42546 44572 55715 60780 66858 70910 78001 85092 106365 111430 133716 141820 156002 167145 212730 222860 234003 312004 334290 390005 425460 468006 668580 780010 936012 1170015 1560020 2340030 4680060