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12785696 = 257115189
BaseRepresentation
bin110000110001…
…100000100000
3220001120200022
4300301200200
511233120241
61134013012
7213451040
oct60614040
926046608
1012785696
1172430a0
124347168
132858801
1419ab720
1511c854b
hexc31820

12785696 has 48 divisors (see below), whose sum is σ = 31389120. Its totient is φ = 4980480.

The previous prime is 12785693. The next prime is 12785701. The reversal of 12785696 is 69658721.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12785693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131 + ... + 5058.

It is an arithmetic number, because the mean of its divisors is an integer number (653940).

Almost surely, 212785696 is an apocalyptic number.

12785696 is a gapful number since it is divisible by the number (16) 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 12785696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15694560).

12785696 is an abundant number, since it is smaller than the sum of its proper divisors (18603424).

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

12785696 is a wasteful number, since it uses less digits than its factorization.

12785696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217 (or 5209 counting only the distinct ones).

The product of its digits is 181440, while the sum is 44.

The square root of 12785696 is about 3575.7091604324. The cubic root of 12785696 is about 233.8342508502.

The spelling of 12785696 in words is "twelve million, seven hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 5189 10378 20756 36323 41512 57079 72646 83024 114158 145292 166048 228316 290584 399553 456632 581168 799106 913264 1162336 1598212 1826528 3196424 6392848 12785696