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10974928 = 2417157257
BaseRepresentation
bin101001110111…
…011011010000
3202122120202211
4221313123100
510302144203
61031121504
7162166606
oct51673320
922576684
1010974928
116216698
123813294
132373553
141659876
15e6bc6d
hexa776d0

10974928 has 40 divisors (see below), whose sum is σ = 22746312. Its totient is φ = 5111808.

The previous prime is 10974919. The next prime is 10974941. The reversal of 10974928 is 82947901.

It can be written as a sum of positive squares in 4 ways, for example, as 5253264 + 5721664 = 2292^2 + 2392^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42576 + ... + 42832.

Almost surely, 210974928 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 10974928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11373156).

10974928 is an abundant number, since it is smaller than the sum of its proper divisors (11771384).

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

10974928 is a wasteful number, since it uses less digits than its factorization.

10974928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 10974928 is about 3312.8428879136. The cubic root of 10974928 is about 222.2289119468.

The spelling of 10974928 in words is "ten million, nine hundred seventy-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 157 257 272 314 514 628 1028 1256 2056 2512 2669 4112 4369 5338 8738 10676 17476 21352 34952 40349 42704 69904 80698 161396 322792 645584 685933 1371866 2743732 5487464 10974928