Search a number
-
+
668393280 = 26325232081
BaseRepresentation
bin100111110101101…
…101111101000000
31201120200220012200
4213311231331000
52332102041110
6150153553200
722364151312
oct4765557500
91646626180
10668393280
11313321845
12167a15800
13a8623ca9
1464aab7b2
153da2c6c0
hex27d6df40

668393280 has 84 divisors (see below), whose sum is σ = 2299004292. Its totient is φ = 178237440.

The previous prime is 668393279. The next prime is 668393311. The reversal of 668393280 is 82393866.

It can be written as a sum of positive squares in 2 ways, for example, as 486467136 + 181926144 = 22056^2 + 13488^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113161 + ... + 118920.

Almost surely, 2668393280 is an apocalyptic number.

668393280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668393280 is an abundant number, since it is smaller than the sum of its proper divisors (1630611012).

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

668393280 is a wasteful number, since it uses less digits than its factorization.

668393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232104 (or 232091 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 668393280 is about 25853.3030771698. The cubic root of 668393280 is about 874.3339824324. Note that the first 3 decimals are identical.

The spelling of 668393280 in words is "six hundred sixty-eight million, three hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 232081 464162 696243 928324 1160405 1392486 1856648 2088729 2320810 2784972 3481215 3713296 4177458 4641620 5569944 6962430 7426592 8354916 9283240 10443645 11139888 13924860 14853184 16709832 18566480 20887290 22279776 27849720 33419664 37132960 41774580 44559552 55699440 66839328 74265920 83549160 111398880 133678656 167098320 222797760 334196640 668393280