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11678912 = 267131199
BaseRepresentation
bin101100100011…
…010011000000
3210222100110022
4230203103000
510442211122
61054153012
7201161210
oct54432300
923870408
1011678912
1166575a3
123ab2768
13255bacb
1417a0240
15105a642
hexb234c0

11678912 has 56 divisors (see below), whose sum is σ = 26822400. Its totient is φ = 4942080.

The previous prime is 11678911. The next prime is 11678941. The reversal of 11678912 is 21987611.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (11678911) 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, 58589 + ... + 58787.

Almost surely, 211678912 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 11678912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411200).

11678912 is an abundant number, since it is smaller than the sum of its proper divisors (15143488).

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

11678912 is a wasteful number, since it uses less digits than its factorization.

11678912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its digits is 6048, while the sum is 35.

The square root of 11678912 is about 3417.4423184598. The cubic root of 11678912 is about 226.8823936200.

The spelling of 11678912 in words is "eleven million, six hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 131 199 224 262 398 448 524 796 917 1048 1393 1592 1834 2096 2786 3184 3668 4192 5572 6368 7336 8384 11144 12736 14672 22288 26069 29344 44576 52138 58688 89152 104276 182483 208552 364966 417104 729932 834208 1459864 1668416 2919728 5839456 11678912