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270088 = 23721353
BaseRepresentation
bin1000001111100001000
3111201111021
41001330020
532120323
65442224
72203300
oct1017410
9451437
10270088
11174a15
12110374
1395c20
1470600
155505d
hex41f08

270088 has 48 divisors (see below), whose sum is σ = 646380. Its totient is φ = 104832.

The previous prime is 270073. The next prime is 270097. The reversal of 270088 is 880072.

It can be written as a sum of positive squares in 2 ways, for example, as 268324 + 1764 = 518^2 + 42^2 .

It is an unprimeable number.

270088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5070 + ... + 5122.

2270088 is an apocalyptic number.

270088 is a gapful number since it is divisible by the number (28) 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 270088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323190).

270088 is an abundant number, since it is smaller than the sum of its proper divisors (376292).

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

270088 is a wasteful number, since it uses less digits than its factorization.

270088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 270088 is about 519.6999134116. The cubic root of 270088 is about 64.6400617994.

The spelling of 270088 in words is "two hundred seventy thousand, eighty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 53 56 91 98 104 106 182 196 212 364 371 392 424 637 689 728 742 1274 1378 1484 2548 2597 2756 2968 4823 5096 5194 5512 9646 10388 19292 20776 33761 38584 67522 135044 270088