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10280672 = 251937457
BaseRepresentation
bin100111001101…
…111011100000
3201100022102122
4213031323200
510112440142
61004203412
7153245543
oct47157340
921308378
1010280672
115892026
123539568
13218c54c
14151885a
15d811d2
hex9cdee0

10280672 has 48 divisors (see below), whose sum is σ = 21929040. Its totient is φ = 4727808.

The previous prime is 10280671. The next prime is 10280693. The reversal of 10280672 is 27608201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10280671) by changing a digit.

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, 22268 + ... + 22724.

It is an arithmetic number, because the mean of its divisors is an integer number (456855).

Almost surely, 210280672 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 10280672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10964520).

10280672 is an abundant number, since it is smaller than the sum of its proper divisors (11648368).

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

10280672 is a wasteful number, since it uses less digits than its factorization.

10280672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 10280672 is about 3206.3487021845. The cubic root of 10280672 is about 217.4405315904.

Adding to 10280672 its reverse (27608201), we get a palindrome (37888873).

The spelling of 10280672 in words is "ten million, two hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 37 38 74 76 148 152 296 304 457 592 608 703 914 1184 1406 1828 2812 3656 5624 7312 8683 11248 14624 16909 17366 22496 33818 34732 67636 69464 135272 138928 270544 277856 321271 541088 642542 1285084 2570168 5140336 10280672