Search a number
-
+
275115060 = 22325111971103
BaseRepresentation
bin10000011001011…
…110110000110100
3201011200021220200
4100121132300310
51030412140220
643144400500
76550303503
oct2031366064
9634607820
10275115060
11131328020
1278176130
1344cc709c
142877683a
1519245890
hex1065ec34

275115060 has 288 divisors, whose sum is σ = 981227520. Its totient is φ = 61689600.

The previous prime is 275115059. The next prime is 275115067. The reversal of 275115060 is 60511572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275115067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2670969 + ... + 2671071.

It is an arithmetic number, because the mean of its divisors is an integer number (3407040).

Almost surely, 2275115060 is an apocalyptic number.

275115060 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 275115060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490613760).

275115060 is an abundant number, since it is smaller than the sum of its proper divisors (706112460).

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

275115060 is a wasteful number, since it uses less digits than its factorization.

275115060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 275115060 is about 16586.5927785064. The cubic root of 275115060 is about 650.3864053567.

The spelling of 275115060 in words is "two hundred seventy-five million, one hundred fifteen thousand, sixty".