Search a number
-
+
668900544 = 26313299241
BaseRepresentation
bin100111110111101…
…001110011000000
31201121122200001020
4213313221303000
52332214304134
6150212505440
722401363234
oct4767516300
91647580036
10668900544
11313638974
1216801b280
13a8770b50
1464ba05c4
153daccb49
hex27de9cc0

668900544 has 112 divisors (see below), whose sum is σ = 1971873120. Its totient is φ = 198696960.

The previous prime is 668900543. The next prime is 668900579. The reversal of 668900544 is 445009866.

It is a junction number, because it is equal to n+sod(n) for n = 668900496 and 668900505.

It is not an unprimeable number, because it can be changed into a prime (668900543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67764 + ... + 77004.

It is an arithmetic number, because the mean of its divisors is an integer number (17606010).

Almost surely, 2668900544 is an apocalyptic number.

668900544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668900544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985936560).

668900544 is an abundant number, since it is smaller than the sum of its proper divisors (1302972576).

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

668900544 is a wasteful number, since it uses less digits than its factorization.

668900544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9298 (or 9288 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 668900544 is about 25863.1116457398. Note that the first 3 decimals coincide. The cubic root of 668900544 is about 874.5551127230. Note that the first 3 decimals are identical.

The spelling of 668900544 in words is "six hundred sixty-eight million, nine hundred thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 156 174 192 208 232 312 348 377 416 464 624 696 754 832 928 1131 1248 1392 1508 1856 2262 2496 2784 3016 4524 5568 6032 9048 9241 12064 18096 18482 24128 27723 36192 36964 55446 72384 73928 110892 120133 147856 221784 240266 267989 295712 360399 443568 480532 535978 591424 720798 803967 887136 961064 1071956 1441596 1607934 1774272 1922128 2143912 2883192 3215868 3483857 3844256 4287824 5766384 6431736 6967714 7688512 8575648 10451571 11532768 12863472 13935428 17151296 20903142 23065536 25726944 27870856 41806284 51453888 55741712 83612568 111483424 167225136 222966848 334450272 668900544