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12695648 = 257192157
BaseRepresentation
bin110000011011…
…100001100000
3212220000011012
4300123201200
511222230043
61132040052
7212624360
oct60334140
925800135
1012695648
117191479
124303028
132826824
1419869a0
1511aba18
hexc1b860

12695648 has 72 divisors (see below), whose sum is σ = 30339792. Its totient is φ = 5121792.

The previous prime is 12695633. The next prime is 12695671. The reversal of 12695648 is 84659621.

It is a happy number.

It is a super-2 number, since 2×126956482 = 322358956279808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80786 + ... + 80942.

It is an arithmetic number, because the mean of its divisors is an integer number (421386).

Almost surely, 212695648 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 12695648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15169896).

12695648 is an abundant number, since it is smaller than the sum of its proper divisors (17644144).

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

12695648 is a wasteful number, since it uses less digits than its factorization.

12695648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 12695648 is about 3563.0952835982. The cubic root of 12695648 is about 233.2840022696.

The spelling of 12695648 in words is "twelve million, six hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 157 224 266 304 314 361 532 608 628 722 1064 1099 1256 1444 2128 2198 2512 2527 2888 2983 4256 4396 5024 5054 5776 5966 8792 10108 11552 11932 17584 20216 20881 23864 35168 40432 41762 47728 56677 80864 83524 95456 113354 167048 226708 334096 396739 453416 668192 793478 906832 1586956 1813664 3173912 6347824 12695648