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12687620 = 22511101571
BaseRepresentation
bin110000011001…
…100100000100
3212212121010212
4300121210010
511222000440
61131534552
7212562101
oct60314404
925777125
1012687620
117186440
1242ba458
132822c8a
141983aa8
1511a9465
hexc19904

12687620 has 48 divisors (see below), whose sum is σ = 29405376. Its totient is φ = 4560000.

The previous prime is 12687613. The next prime is 12687659. The reversal of 12687620 is 2678621.

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, 21935 + ... + 22505.

It is an arithmetic number, because the mean of its divisors is an integer number (612612).

Almost surely, 212687620 is an apocalyptic number.

12687620 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 12687620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14702688).

12687620 is an abundant number, since it is smaller than the sum of its proper divisors (16717756).

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

12687620 is a wasteful number, since it uses less digits than its factorization.

12687620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 12687620 is about 3561.9685568517. The cubic root of 12687620 is about 233.2348200916.

It can be divided in two parts, 1268 and 7620, that added together give a palindrome (8888).

The spelling of 12687620 in words is "twelve million, six hundred eighty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 571 1010 1111 1142 2020 2222 2284 2855 4444 5555 5710 6281 11110 11420 12562 22220 25124 31405 57671 62810 115342 125620 230684 288355 576710 634381 1153420 1268762 2537524 3171905 6343810 12687620