Search a number
-
+
60224080 = 2457414361
BaseRepresentation
bin1110010110111…
…1001001010000
311012022200220111
43211233021100
5110404132310
65550451104
71330616260
oct345571120
9135280814
1060224080
1130aa4274
1218203a94
13c627c67
147dd97a0
15544928a
hex396f250

60224080 has 160 divisors (see below), whose sum is σ = 170489088. Its totient is φ = 19353600.

The previous prime is 60224077. The next prime is 60224083. The reversal of 60224080 is 8042206.

60224080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (60224077) and next prime (60224083).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60224083) by changing a digit.

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, 987250 + ... + 987310.

Almost surely, 260224080 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 60224080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85244544).

60224080 is an abundant number, since it is smaller than the sum of its proper divisors (110265008).

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

60224080 is a wasteful number, since it uses less digits than its factorization.

60224080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 60224080 is about 7760.4175145413. The cubic root of 60224080 is about 391.9735161894.

Adding to 60224080 its reverse (8042206), we get a palindrome (68266286).

The spelling of 60224080 in words is "sixty million, two hundred twenty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 43 56 61 70 80 82 86 112 122 140 164 172 205 215 244 280 287 301 305 328 344 410 427 430 488 560 574 602 610 656 688 820 854 860 976 1148 1204 1220 1435 1505 1640 1708 1720 1763 2135 2296 2408 2440 2501 2623 2870 3010 3280 3416 3440 3526 4270 4592 4816 4880 5002 5246 5740 6020 6832 7052 8540 8815 10004 10492 11480 12040 12341 12505 13115 14104 17080 17507 17630 18361 20008 20984 22960 24080 24682 25010 26230 28208 34160 35014 35260 36722 40016 41968 49364 50020 52460 61705 70028 70520 73444 87535 91805 98728 100040 104920 107543 123410 140056 141040 146888 175070 183610 197456 200080 209840 215086 246820 280112 293776 350140 367220 430172 493640 537715 700280 734440 752801 860344 987280 1075430 1400560 1468880 1505602 1720688 2150860 3011204 3764005 4301720 6022408 7528010 8603440 12044816 15056020 30112040 60224080