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11929716 = 223217101193
BaseRepresentation
bin101101100000…
…100001110100
3211110002111100
4231200201310
511023222331
61103410100
7203254341
oct55404164
924402440
1011929716
116808a77
123bb3930
132619006
1418277c8
1510a9ae6
hexb60874

11929716 has 72 divisors (see below), whose sum is σ = 32412744. Its totient is φ = 3686400.

The previous prime is 11929703. The next prime is 11929721. The reversal of 11929716 is 61792911.

It can be written as a sum of positive squares in 4 ways, for example, as 4928400 + 7001316 = 2220^2 + 2646^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61716 + ... + 61908.

It is an arithmetic number, because the mean of its divisors is an integer number (450177).

Almost surely, 211929716 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 11929716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16206372).

11929716 is an abundant number, since it is smaller than the sum of its proper divisors (20483028).

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

11929716 is a wasteful number, since it uses less digits than its factorization.

11929716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 316 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 11929716 is about 3453.9420956351. The cubic root of 11929716 is about 228.4950002657.

The spelling of 11929716 in words is "eleven million, nine hundred twenty-nine thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 101 102 153 193 202 204 303 306 386 404 579 606 612 772 909 1158 1212 1717 1737 1818 2316 3281 3434 3474 3636 5151 6562 6868 6948 9843 10302 13124 15453 19493 19686 20604 29529 30906 38986 39372 58479 59058 61812 77972 116958 118116 175437 233916 331381 350874 662762 701748 994143 1325524 1988286 2982429 3976572 5964858 11929716