Search a number
-
+
60869088 = 25327109277
BaseRepresentation
bin1110100000110…
…0100111100000
311020112110200200
43220030213200
5111040302323
610012345200
71336243620
oct350144740
9136473620
1060869088
11313a4935
1218475200
13c7c2717
148126880
155525443
hex3a0c9e0

60869088 has 144 divisors (see below), whose sum is σ = 200360160. Its totient is φ = 17169408.

The previous prime is 60869087. The next prime is 60869093. The reversal of 60869088 is 88096806.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60869087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219606 + ... + 219882.

It is an arithmetic number, because the mean of its divisors is an integer number (1391390).

Almost surely, 260869088 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 60869088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100180080).

60869088 is an abundant number, since it is smaller than the sum of its proper divisors (139491072).

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

60869088 is a wasteful number, since it uses less digits than its factorization.

60869088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 60869088 is about 7801.8643925667. The cubic root of 60869088 is about 393.3679129483.

It can be divided in two parts, 608 and 69088, that added together give a palindrome (69696).

The spelling of 60869088 in words is "sixty million, eight hundred sixty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 109 112 126 144 168 218 224 252 277 288 327 336 436 504 554 654 672 763 831 872 981 1008 1108 1308 1526 1662 1744 1939 1962 2016 2216 2289 2493 2616 3052 3324 3488 3878 3924 4432 4578 4986 5232 5817 6104 6648 6867 7756 7848 8864 9156 9972 10464 11634 12208 13296 13734 15512 15696 17451 18312 19944 23268 24416 26592 27468 30193 31024 31392 34902 36624 39888 46536 54936 60386 62048 69804 73248 79776 90579 93072 109872 120772 139608 181158 186144 211351 219744 241544 271737 279216 362316 422702 483088 543474 558432 634053 724632 845404 966176 1086948 1268106 1449264 1690808 1902159 2173896 2536212 2898528 3381616 3804318 4347792 5072424 6763232 7608636 8695584 10144848 15217272 20289696 30434544 60869088