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12640288 = 252953257
BaseRepresentation
bin110000001110…
…000000100000
3212210012012211
4300032000200
511213442123
61130531504
7212304103
oct60160040
925705184
1012640288
117153921
124296b94
13280757b
14197073a
15119a40d
hexc0e020

12640288 has 48 divisors (see below), whose sum is σ = 26331480. Its totient is φ = 5963776.

The previous prime is 12640283. The next prime is 12640291. The reversal of 12640288 is 88204621.

It can be written as a sum of positive squares in 4 ways, for example, as 12588304 + 51984 = 3548^2 + 228^2 .

It is not an unprimeable number, because it can be changed into a prime (12640283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49056 + ... + 49312.

Almost surely, 212640288 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 12640288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13165740).

12640288 is an abundant number, since it is smaller than the sum of its proper divisors (13691192).

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

12640288 is a wasteful number, since it uses less digits than its factorization.

12640288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 12640288 is about 3555.3182698600. The cubic root of 12640288 is about 232.9444260737.

The spelling of 12640288 in words is "twelve million, six hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 29 32 53 58 106 116 212 232 257 424 464 514 848 928 1028 1537 1696 2056 3074 4112 6148 7453 8224 12296 13621 14906 24592 27242 29812 49184 54484 59624 108968 119248 217936 238496 395009 435872 790018 1580036 3160072 6320144 12640288