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12635080 = 2351721093
BaseRepresentation
bin110000001100…
…101111001000
3212202221001221
4300030233020
511213310310
61130451424
7212252653
oct60145710
925687057
1012635080
11714aa17
124293b74
1328050a3
14196c89a
151198ada
hexc0cbc8

12635080 has 48 divisors (see below), whose sum is σ = 30227220. Its totient is φ = 4752384.

The previous prime is 12635033. The next prime is 12635083. The reversal of 12635080 is 8053621.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11985444 + 649636 = 3462^2 + 806^2 .

It is not an unprimeable number, because it can be changed into a prime (12635083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11014 + ... + 12106.

Almost surely, 212635080 is an apocalyptic number.

12635080 is a gapful number since it is divisible by the number (10) 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 12635080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15113610).

12635080 is an abundant number, since it is smaller than the sum of its proper divisors (17592140).

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

12635080 is a wasteful number, since it uses less digits than its factorization.

12635080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 12635080 is about 3554.5857705224. The cubic root of 12635080 is about 232.9124294075.

The spelling of 12635080 in words is "twelve million, six hundred thirty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1093 1156 1445 2186 2312 2890 4372 5465 5780 8744 10930 11560 18581 21860 37162 43720 74324 92905 148648 185810 315877 371620 631754 743240 1263508 1579385 2527016 3158770 6317540 12635080