Search a number
-
+
266880480 = 25354171191
BaseRepresentation
bin11111110100001…
…00010111100000
3200121011221012020
433322010113200
51021310133410
642252101440
76420306126
oct1772042740
9617157166
10266880480
11127713289
1275464880
13433a2c59
1427631916
151866aa70
hexfe845e0

266880480 has 192 divisors, whose sum is σ = 877879296. Its totient is φ = 68096000.

The previous prime is 266880469. The next prime is 266880491. The reversal of 266880480 is 84088662.

266880480 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (266880469) and next prime (266880491).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1397185 + ... + 1397375.

It is an arithmetic number, because the mean of its divisors is an integer number (4572288).

Almost surely, 2266880480 is an apocalyptic number.

266880480 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 266880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438939648).

266880480 is an abundant number, since it is smaller than the sum of its proper divisors (610998816).

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

266880480 is a wasteful number, since it uses less digits than its factorization.

266880480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 266880480 is about 16336.4769763863. The cubic root of 266880480 is about 643.8315725330.

The spelling of 266880480 in words is "two hundred sixty-six million, eight hundred eighty thousand, four hundred eighty".