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11678568 = 23311311427
BaseRepresentation
bin101100100011…
…001101101000
3210222022222120
4230203031220
510442203233
61054151240
7201160206
oct54431550
923868876
1011678568
116657310
123ab2520
13255b8c5
1417a0076
15105a4b3
hexb23368

11678568 has 64 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 3422400.

The previous prime is 11678533. The next prime is 11678593. The reversal of 11678568 is 86587611.

11678568 = T72 + T73 + ... + T412.

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 15 ways as a sum of consecutive naturals, for example, 7471 + ... + 8897.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 211678568 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 11678568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

11678568 is an abundant number, since it is smaller than the sum of its proper divisors (21222552).

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

11678568 is a wasteful number, since it uses less digits than its factorization.

11678568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1474 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 11678568 is about 3417.3919880517. The cubic root of 11678568 is about 226.8801660064.

It can be divided in two parts, 11678 and 568, that added together give a triangular number (12246 = T156).

The spelling of 11678568 in words is "eleven million, six hundred seventy-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 1427 2046 2728 2854 4092 4281 5708 8184 8562 11416 15697 17124 31394 34248 44237 47091 62788 88474 94182 125576 132711 176948 188364 265422 353896 376728 486607 530844 973214 1061688 1459821 1946428 2919642 3892856 5839284 11678568