Search a number
-
+
8055060 = 22351323449
BaseRepresentation
bin11110101110100100010100
3120011020110120
4132232210110
54030230220
6444351540
7125316066
oct36564424
916136416
108055060
114601982
1228455b0
131890510
1410d9736
15a91a40
hex7ae914

8055060 has 96 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 1892352.

The previous prime is 8055049. The next prime is 8055101. The reversal of 8055060 is 605508.

8055060 = T169 + T170 + ... + T375.

It is a super-3 number, since 3×80550603 (a number of 22 digits) contains 333 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 8055060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17716 + ... + 18164.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 28055060 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 8055060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

8055060 is an abundant number, since it is smaller than the sum of its proper divisors (17346540).

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

8055060 is a wasteful number, since it uses less digits than its factorization.

8055060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 8055060 is about 2838.1437595724. The cubic root of 8055060 is about 200.4577846997.

The spelling of 8055060 in words is "eight million, fifty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 195 230 260 276 299 345 390 449 460 598 690 780 897 898 1196 1347 1380 1495 1794 1796 2245 2694 2990 3588 4485 4490 5388 5837 5980 6735 8970 8980 10327 11674 13470 17511 17940 20654 23348 26940 29185 30981 35022 41308 51635 58370 61962 70044 87555 103270 116740 123924 134251 154905 175110 206540 268502 309810 350220 402753 537004 619620 671255 805506 1342510 1611012 2013765 2685020 4027530 8055060