Search a number
-
+
266661504 = 27331931131
BaseRepresentation
bin11111110010011…
…10111010000000
3200120202210211000
433321032322000
51021231132004
642243252000
76415404534
oct1771167200
9616683730
10266661504
1112758380a
127537a000
1343327395
14275b5bc4
1518625c39
hexfe4ee80

266661504 has 256 divisors, whose sum is σ = 861696000. Its totient is φ = 80870400.

The previous prime is 266661443. The next prime is 266661509. The reversal of 266661504 is 405166662.

It is a happy number.

It is a super-2 number, since 2×2666615042 = 142216715431084032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266661509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2035519 + ... + 2035649.

It is an arithmetic number, because the mean of its divisors is an integer number (3366000).

Almost surely, 2266661504 is an apocalyptic number.

266661504 is a gapful number since it is divisible by the number (24) 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 266661504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430848000).

266661504 is an abundant number, since it is smaller than the sum of its proper divisors (595034496).

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

266661504 is a wasteful number, since it uses less digits than its factorization.

266661504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 266661504 is about 16329.7735440514. The cubic root of 266661504 is about 643.6554359604.

The spelling of 266661504 in words is "two hundred sixty-six million, six hundred sixty-one thousand, five hundred four".