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11972912 = 247532017
BaseRepresentation
bin101101101011…
…000100110000
3211112021202012
4231223010300
511031113122
61104342052
7203524310
oct55530460
924467665
1011972912
116838476
124014928
132632883
141839440
1510b77e2
hexb6b130

11972912 has 40 divisors (see below), whose sum is σ = 27025056. Its totient is φ = 5031936.

The previous prime is 11972899. The next prime is 11972953. The reversal of 11972912 is 21927911.

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 7 ways as a sum of consecutive naturals, for example, 4928 + ... + 6944.

Almost surely, 211972912 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 11972912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512528).

11972912 is an abundant number, since it is smaller than the sum of its proper divisors (15052144).

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

11972912 is a wasteful number, since it uses less digits than its factorization.

11972912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2079 counting only the distinct ones).

The product of its digits is 2268, while the sum is 32.

The square root of 11972912 is about 3460.1895901814. The cubic root of 11972912 is about 228.7704519522.

The spelling of 11972912 in words is "eleven million, nine hundred seventy-two thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2017 2968 4034 5936 8068 14119 16136 28238 32272 56476 106901 112952 213802 225904 427604 748307 855208 1496614 1710416 2993228 5986456 11972912