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12770632 = 237972351
BaseRepresentation
bin110000101101…
…110101001000
3220000211000101
4300231311020
511232130012
61133415144
7213356110
oct60556510
926024011
1012770632
117232846
12433a4b4
1328519b4
1419a6040
1511c3d57
hexc2dd48

12770632 has 32 divisors (see below), whose sum is σ = 27659520. Its totient is φ = 5414400.

The previous prime is 12770599. The next prime is 12770651. The reversal of 12770632 is 23607721.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12770632.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4257 + ... + 6607.

It is an arithmetic number, because the mean of its divisors is an integer number (864360).

Almost surely, 212770632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12770632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13829760).

12770632 is an abundant number, since it is smaller than the sum of its proper divisors (14888888).

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

12770632 is a wasteful number, since it uses less digits than its factorization.

12770632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 12770632 is about 3573.6021043200. The cubic root of 12770632 is about 233.7423809083.

The spelling of 12770632 in words is "twelve million, seven hundred seventy thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 97 194 388 679 776 1358 2351 2716 4702 5432 9404 16457 18808 32914 65828 131656 228047 456094 912188 1596329 1824376 3192658 6385316 12770632