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245136260 = 22517898101
BaseRepresentation
bin11101001110001…
…11101110000100
3122002021012201202
432213013232010
51000223330020
640154042032
76034423655
oct1647075604
9562235652
10245136260
11116411556
126a119318
133ba2b955
14247b152c
15167c2e75
hexe9c7b84

245136260 has 48 divisors (see below), whose sum is σ = 551260080. Its totient is φ = 91238400.

The previous prime is 245136259. The next prime is 245136299. The reversal of 245136260 is 62631542.

It can be written as a sum of positive squares in 8 ways, for example, as 20376196 + 224760064 = 4514^2 + 14992^2 .

It is a super-4 number, since 4×2451362604 (a number of 35 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26210 + ... + 34310.

It is an arithmetic number, because the mean of its divisors is an integer number (11484585).

Almost surely, 2245136260 is an apocalyptic number.

245136260 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 245136260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275630040).

245136260 is an abundant number, since it is smaller than the sum of its proper divisors (306123820).

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

245136260 is a wasteful number, since it uses less digits than its factorization.

245136260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8216 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 245136260 is about 15656.8279035059. The cubic root of 245136260 is about 625.8484562074.

The spelling of 245136260 in words is "two hundred forty-five million, one hundred thirty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 89 170 178 340 356 445 890 1513 1780 3026 6052 7565 8101 15130 16202 30260 32404 40505 81010 137717 162020 275434 550868 688585 720989 1377170 1441978 2754340 2883956 3604945 7209890 12256813 14419780 24513626 49027252 61284065 122568130 245136260