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669287840 = 255132331381
BaseRepresentation
bin100111111001001…
…000010110100000
31201122101100022112
4213321020112200
52332314202330
6150225054452
722404565334
oct4771102640
91648340275
10669287840
11313882951
12168187428
13a8878210
1464c617c4
153db57795
hex27e485a0

669287840 has 96 divisors (see below), whose sum is σ = 1711369296. Its totient is φ = 245882880.

The previous prime is 669287821. The next prime is 669287851. The reversal of 669287840 is 48782966.

It can be written as a sum of positive squares in 8 ways, for example, as 73342096 + 595945744 = 8564^2 + 24412^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 483950 + ... + 485330.

Almost surely, 2669287840 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 669287840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855684648).

669287840 is an abundant number, since it is smaller than the sum of its proper divisors (1042081456).

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

669287840 is a wasteful number, since it uses less digits than its factorization.

669287840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The square root of 669287840 is about 25870.5979830386. The cubic root of 669287840 is about 874.7238704201.

The spelling of 669287840 in words is "six hundred sixty-nine million, two hundred eighty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 233 260 416 466 520 932 1040 1165 1381 1864 2080 2330 2762 3029 3728 4660 5524 6058 6905 7456 9320 11048 12116 13810 15145 17953 18640 22096 24232 27620 30290 35906 37280 44192 48464 55240 60580 71812 89765 96928 110480 121160 143624 179530 220960 242320 287248 321773 359060 484640 574496 643546 718120 1287092 1436240 1608865 2574184 2872480 3217730 4183049 5148368 6435460 8366098 10296736 12870920 16732196 20915245 25741840 33464392 41830490 51483680 66928784 83660980 133857568 167321960 334643920 669287840