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10754912 = 2572193
BaseRepresentation
bin101001000001…
…101101100000
3202020101222002
4221001231200
510223124122
61022303132
7160262300
oct51015540
922211862
1010754912
116086363
123727aa8
1322c736c
1415dd600
15e26992
hexa41b60

10754912 has 72 divisors (see below), whose sum is σ = 25998840. Its totient is φ = 4366656.

The previous prime is 10754899. The next prime is 10754917. The reversal of 10754912 is 21945701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10754917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 566039 + ... + 566057.

It is an arithmetic number, because the mean of its divisors is an integer number (361095).

Almost surely, 210754912 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 10754912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999420).

10754912 is an abundant number, since it is smaller than the sum of its proper divisors (15243928).

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

10754912 is an frugal number, since it uses more digits than its factorization.

10754912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 10754912 is about 3279.4682495795. The cubic root of 10754912 is about 220.7338578754.

The spelling of 10754912 in words is "ten million, seven hundred fifty-four thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 361 392 532 608 722 784 931 1064 1444 1568 1862 2128 2527 2888 3724 4256 5054 5776 6859 7448 10108 11552 13718 14896 17689 20216 27436 29792 35378 40432 48013 54872 70756 80864 96026 109744 141512 192052 219488 283024 336091 384104 566048 672182 768208 1344364 1536416 2688728 5377456 10754912