Search a number
-
+
27298440 = 233251319307
BaseRepresentation
bin110100000100…
…0101010001000
31220100220102100
41220020222020
523442022230
62413033400
7451014201
oct150105210
956326370
1027298440
11144557a4
129185860
13586a430
1438a85a8
1525e3660
hex1a08a88

27298440 has 192 divisors, whose sum is σ = 100900800. Its totient is φ = 6345216.

The previous prime is 27298409. The next prime is 27298441. The reversal of 27298440 is 4489272.

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

It is a junction number, because it is equal to n+sod(n) for n = 27298395 and 27298404.

It is not an unprimeable number, because it can be changed into a prime (27298441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88767 + ... + 89073.

It is an arithmetic number, because the mean of its divisors is an integer number (525525).

Almost surely, 227298440 is an apocalyptic number.

27298440 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 27298440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50450400).

27298440 is an abundant number, since it is smaller than the sum of its proper divisors (73602360).

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

27298440 is a wasteful number, since it uses less digits than its factorization.

27298440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 27298440 is about 5224.7909049071. The cubic root of 27298440 is about 301.1012856197.

The spelling of 27298440 in words is "twenty-seven million, two hundred ninety-eight thousand, four hundred forty".