Search a number
-
+
275080240 = 2457334691
BaseRepresentation
bin10000011001010…
…110010000110000
3201011121112011001
4100121112100300
51030410031430
643143531344
76550100131
oct2031262060
9634545131
10275080240
11131303946
1278159b54
1344cb4296
1428767c88
151923a3ca
hex10656430

275080240 has 40 divisors (see below), whose sum is σ = 640570608. Its totient is φ = 109858560.

The previous prime is 275080231. The next prime is 275080241. The reversal of 275080240 is 42080572.

275080240 is a nontrivial binomial coefficient, being equal to C(23456, 2).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 275080199 and 275080208.

It is not an unprimeable number, because it can be changed into a prime (275080241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56295 + ... + 60985.

Almost surely, 2275080240 is an apocalyptic number.

275080240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

275080240 is the 23455-th triangular number and also the 11728-th hexagonal number.

275080240 is the 7819-th centered nonagonal number.

It is an amenable number.

275080240 is an abundant number, since it is smaller than the sum of its proper divisors (365490368).

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

275080240 is a wasteful number, since it uses less digits than its factorization.

275080240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5437 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 275080240 is about 16585.5431023527. The cubic root of 275080240 is about 650.3589654313.

The spelling of 275080240 in words is "two hundred seventy-five million, eighty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 733 1466 2932 3665 4691 5864 7330 9382 11728 14660 18764 23455 29320 37528 46910 58640 75056 93820 187640 375280 3438503 6877006 13754012 17192515 27508024 34385030 55016048 68770060 137540120 275080240