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275116040 = 235294872
BaseRepresentation
bin10000011001011…
…111000000001000
3201011200100020222
4100121133000020
51030412203130
643144405212
76550306403
oct2031370010
9634610228
10275116040
11131328831
1278176808
1344cc7674
1428776d3a
1519245ce5
hex1065f008

275116040 has 48 divisors (see below), whose sum is σ = 641673900. Its totient is φ = 106033536.

The previous prime is 275116013. The next prime is 275116081. The reversal of 275116040 is 40611572.

It can be written as a sum of positive squares in 2 ways, for example, as 274167364 + 948676 = 16558^2 + 974^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564677 + ... + 565163.

Almost surely, 2275116040 is an apocalyptic number.

275116040 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 275116040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320836950).

275116040 is an abundant number, since it is smaller than the sum of its proper divisors (366557860).

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

275116040 is an equidigital number, since it uses as much as digits as its factorization.

275116040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 275116040 is about 16586.6223204123. The cubic root of 275116040 is about 650.3871776128.

The spelling of 275116040 in words is "two hundred seventy-five million, one hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 487 580 974 1160 1948 2435 3896 4870 9740 14123 19480 28246 56492 70615 112984 141230 237169 282460 474338 564920 948676 1185845 1897352 2371690 4743380 6877901 9486760 13755802 27511604 34389505 55023208 68779010 137558020 275116040