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10714928 = 247279173
BaseRepresentation
bin101000110111…
…111100110000
3202011101010012
4220313330300
510220334203
61021354052
7160034600
oct50677460
922141105
1010714928
116059314
123708928
1322b20c3
1415ccc00
15e19bd8
hexa37f30

10714928 has 60 divisors (see below), whose sum is σ = 24596640. Its totient is φ = 4507776.

The previous prime is 10714903. The next prime is 10714937. The reversal of 10714928 is 82941701.

It is a super-2 number, since 2×107149282 = 229619364090368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10714894 and 10714903.

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 11 ways as a sum of consecutive naturals, for example, 61850 + ... + 62022.

It is an arithmetic number, because the mean of its divisors is an integer number (409944).

Almost surely, 210714928 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 10714928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12298320).

10714928 is an abundant number, since it is smaller than the sum of its proper divisors (13881712).

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

10714928 is a wasteful number, since it uses less digits than its factorization.

10714928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 10714928 is about 3273.3664628330. The cubic root of 10714928 is about 220.4599742583.

The spelling of 10714928 in words is "ten million, seven hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 79 98 112 158 173 196 316 346 392 553 632 692 784 1106 1211 1264 1384 2212 2422 2768 3871 4424 4844 7742 8477 8848 9688 13667 15484 16954 19376 27334 30968 33908 54668 61936 67816 95669 109336 135632 191338 218672 382676 669683 765352 1339366 1530704 2678732 5357464 10714928