Search a number
-
+
276485280 = 253517311093
BaseRepresentation
bin10000011110101…
…101010010100000
3201021020220111120
4100132231102200
51031240012110
643234012240
76565041351
oct2036552240
9637226446
10276485280
11132083535
1278717080
1345386976
1428a11d28
1519416870
hex107ad4a0

276485280 has 192 divisors, whose sum is σ = 952777728. Its totient is φ = 67092480.

The previous prime is 276485257. The next prime is 276485281. The reversal of 276485280 is 82584672.

276485280 = T96 + T97 + ... + T1183.

It is a happy number.

276485280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2764852802 = 152888220113356800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (276485281) 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, 252414 + ... + 253506.

It is an arithmetic number, because the mean of its divisors is an integer number (4962384).

Almost surely, 2276485280 is an apocalyptic number.

276485280 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 276485280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476388864).

276485280 is an abundant number, since it is smaller than the sum of its proper divisors (676292448).

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

276485280 is a wasteful number, since it uses less digits than its factorization.

276485280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 276485280 is about 16627.8465232272. The cubic root of 276485280 is about 651.4643749833.

The spelling of 276485280 in words is "two hundred seventy-six million, four hundred eighty-five thousand, two hundred eighty".