[go: up one dir, main page]

Search a number
-
+
27233280 = 210335197
BaseRepresentation
bin110011111100…
…0110000000000
31220020121001000
41213320300000
523432431110
62411412000
7450323214
oct147706000
956217030
1027233280
1114410848
129154000
135846889
14388c944
1525ce1c0
hex19f8c00

27233280 has 176 divisors, whose sum is σ = 97273440. Its totient is φ = 7225344.

The previous prime is 27233237. The next prime is 27233281. The reversal of 27233280 is 8233272.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (27233281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138142 + ... + 138338.

It is an arithmetic number, because the mean of its divisors is an integer number (552690).

Almost surely, 227233280 is an apocalyptic number.

27233280 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 27233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48636720).

27233280 is an abundant number, since it is smaller than the sum of its proper divisors (70040160).

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

27233280 is a wasteful number, since it uses less digits than its factorization.

27233280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 27233280 is about 5218.5515231719. The cubic root of 27233280 is about 300.8615235556.

The spelling of 27233280 in words is "twenty-seven million, two hundred thirty-three thousand, two hundred eighty".