Search a number
-
+
268704020 = 225132294513
BaseRepresentation
bin10000000001000…
…001100100010100
3200201121120121202
4100001001210110
51022242012040
642355132032
76441642434
oct2001014424
9621546552
10268704020
11128749342
1275ba4018
1343890c80
14279882c4
15188cb015
hex10041914

268704020 has 48 divisors (see below), whose sum is σ = 610473360. Its totient is φ = 98758656.

The previous prime is 268704019. The next prime is 268704089. The reversal of 268704020 is 20407862.

It can be written as a sum of positive squares in 8 ways, for example, as 38514436 + 230189584 = 6206^2 + 15172^2 .

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 57284 + ... + 61796.

It is an arithmetic number, because the mean of its divisors is an integer number (12718195).

Almost surely, 2268704020 is an apocalyptic number.

268704020 is a gapful number since it is divisible by the number (20) 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 268704020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305236680).

268704020 is an abundant number, since it is smaller than the sum of its proper divisors (341769340).

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

268704020 is a wasteful number, since it uses less digits than its factorization.

268704020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 268704020 is about 16392.1938739145. The cubic root of 268704020 is about 645.2946353361.

The spelling of 268704020 in words is "two hundred sixty-eight million, seven hundred four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 229 260 458 916 1145 2290 2977 4513 4580 5954 9026 11908 14885 18052 22565 29770 45130 58669 59540 90260 117338 234676 293345 586690 1033477 1173380 2066954 4133908 5167385 10334770 13435201 20669540 26870402 53740804 67176005 134352010 268704020