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10925928 = 2334131297
BaseRepresentation
bin101001101011…
…011101101000
3202120002120000
4221223131220
510244112203
61030103000
7161604006
oct51533550
922502500
1010925928
1161928a2
1237aaa60
132357160
141645a76
15e5c4a3
hexa6b768

10925928 has 80 divisors (see below), whose sum is σ = 32982180. Its totient is φ = 3359232.

The previous prime is 10925927. The next prime is 10925939. The reversal of 10925928 is 82952901.

It can be written as a sum of positive squares in 2 ways, for example, as 10614564 + 311364 = 3258^2 + 558^2 .

It is a super-3 number, since 3×109259283 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10925892 and 10925901.

It is not an unprimeable number, because it can be changed into a prime (10925927) 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 19 ways as a sum of consecutive naturals, for example, 7776 + ... + 9072.

Almost surely, 210925928 is an apocalyptic number.

10925928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10925928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16491090).

10925928 is an abundant number, since it is smaller than the sum of its proper divisors (22056252).

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

10925928 is a wasteful number, since it uses less digits than its factorization.

10925928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 10925928 is about 3305.4391538796. The cubic root of 10925928 is about 221.8976884290.

The spelling of 10925928 in words is "ten million, nine hundred twenty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1297 1404 2106 2594 2808 3891 4212 5188 7782 8424 10376 11673 15564 16861 23346 31128 33722 35019 46692 50583 67444 70038 93384 101166 105057 134888 140076 151749 202332 210114 280152 303498 404664 420228 455247 606996 840456 910494 1213992 1365741 1820988 2731482 3641976 5462964 10925928