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270023310 = 232522713217
BaseRepresentation
bin10000000110000…
…011101010001110
3200211002121100100
4100012003222032
51023111221220
642443311530
76456105654
oct2006035216
9624077310
10270023310
1112946a567
127651b5a6
1343c3360b
1427c0cdd4
1518a8bd90
hex10183a8e

270023310 has 48 divisors (see below), whose sum is σ = 705206736. Its totient is φ = 71683584.

The previous prime is 270023309. The next prime is 270023311. The reversal of 270023310 is 13320072.

It is an interprime number because it is at equal distance from previous prime (270023309) and next prime (270023311).

It is a super-2 number, since 2×2700233102 = 145825175886712200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

270023310 is a modest number, since divided by 23310 gives 270 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270023311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13822 + ... + 27038.

It is an arithmetic number, because the mean of its divisors is an integer number (14691807).

Almost surely, 2270023310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270023310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352603368).

270023310 is an abundant number, since it is smaller than the sum of its proper divisors (435183426).

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

270023310 is a wasteful number, since it uses less digits than its factorization.

270023310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13457 (or 13454 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 270023310 is about 16432.3860105585. The cubic root of 270023310 is about 646.3490064271.

Adding to 270023310 its reverse (13320072), we get a palindrome (283343382).

The spelling of 270023310 in words is "two hundred seventy million, twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 227 454 681 1135 1362 2043 2270 3405 4086 6810 10215 13217 20430 26434 39651 66085 79302 118953 132170 198255 237906 396510 594765 1189530 3000259 6000518 9000777 15001295 18001554 27002331 30002590 45003885 54004662 90007770 135011655 270023310