Search a number
-
+
4626110060 = 22511132370327
BaseRepresentation
bin1000100111011110…
…01101011001101100
3102221101211201222122
410103233031121230
533433241010220
62043013332112
7222432200225
oct42357153154
912841751878
104626110060
111a64355a60
12a91337038
1358955c840
1431c57624c
151c11ee425
hex113bcd66c

4626110060 has 96 divisors (see below), whose sum is σ = 11909624832. Its totient is φ = 1485285120.

The previous prime is 4626110029. The next prime is 4626110077. The reversal of 4626110060 is 600116264.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 30617 + ... + 100943.

It is an arithmetic number, because the mean of its divisors is an integer number (124058592).

Almost surely, 24626110060 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 4626110060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5954812416).

4626110060 is an abundant number, since it is smaller than the sum of its proper divisors (7283514772).

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

4626110060 is a wasteful number, since it uses less digits than its factorization.

4626110060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70383 (or 70381 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4626110060 is about 68015.5133774641. The cubic root of 4626110060 is about 1666.2442112390.

The spelling of 4626110060 in words is "four billion, six hundred twenty-six million, one hundred ten thousand, sixty".

Divisors: 1 2 4 5 10 11 13 20 22 23 26 44 46 52 55 65 92 110 115 130 143 220 230 253 260 286 299 460 506 572 598 715 1012 1196 1265 1430 1495 2530 2860 2990 3289 5060 5980 6578 13156 16445 32890 65780 70327 140654 281308 351635 703270 773597 914251 1406540 1547194 1617521 1828502 3094388 3235042 3657004 3867985 4571255 6470084 7735970 8087605 9142510 10056761 15471940 16175210 17792731 18285020 20113522 21027773 32350420 35585462 40227044 42055546 50283805 71170924 84111092 88963655 100567610 105138865 177927310 201135220 210277730 231305503 355854620 420555460 462611006 925222012 1156527515 2313055030 4626110060