Search a number
-
+
69246080 = 275257421
BaseRepresentation
bin1000010000010…
…01110010000000
311211022001202122
410020021302000
5120211333310
610512103412
71500403421
oct410116200
9154261678
1069246080
11360a6672
121b234b68
1311466617
1492a7648
15612c555
hex4209c80

69246080 has 64 divisors (see below), whose sum is σ = 166580280. Its totient is φ = 27525120.

The previous prime is 69246071. The next prime is 69246097. The reversal of 69246080 is 8064296.

It can be written as a sum of positive squares in 4 ways, for example, as 53816896 + 15429184 = 7336^2 + 3928^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 69246080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164270 + ... + 164690.

Almost surely, 269246080 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 69246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83290140).

69246080 is an abundant number, since it is smaller than the sum of its proper divisors (97334200).

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

69246080 is a wasteful number, since it uses less digits than its factorization.

69246080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 69246080 is about 8321.4229552403. The cubic root of 69246080 is about 410.6436054590.

The spelling of 69246080 in words is "sixty-nine million, two hundred forty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 257 320 421 514 640 842 1028 1285 1684 2056 2105 2570 3368 4112 4210 5140 6736 8224 8420 10280 13472 16448 16840 20560 26944 32896 33680 41120 53888 67360 82240 108197 134720 164480 216394 269440 432788 540985 865576 1081970 1731152 2163940 3462304 4327880 6924608 8655760 13849216 17311520 34623040 69246080