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10250928 = 243361389
BaseRepresentation
bin100111000110…
…101010110000
3201021210122000
4213012222300
510111012203
61003414000
7153063042
oct47065260
921253560
1010250928
115871746
123524300
13217bb4c
14150ba92
15d774a3
hex9c6ab0

10250928 has 80 divisors (see below), whose sum is σ = 29983200. Its totient is φ = 3352320.

The previous prime is 10250923. The next prime is 10250941. The reversal of 10250928 is 82905201.

It is a super-2 number, since 2×102509282 = 210163049722368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10250923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26158 + ... + 26546.

It is an arithmetic number, because the mean of its divisors is an integer number (374790).

Almost surely, 210250928 is an apocalyptic number.

10250928 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 10250928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14991600).

10250928 is an abundant number, since it is smaller than the sum of its proper divisors (19732272).

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

10250928 is a wasteful number, since it uses less digits than its factorization.

10250928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10250928 is about 3201.7070446873. The cubic root of 10250928 is about 217.2306296659.

The spelling of 10250928 in words is "ten million, two hundred fifty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 389 432 488 549 732 778 976 1098 1167 1464 1556 1647 2196 2334 2928 3112 3294 3501 4392 4668 6224 6588 7002 8784 9336 10503 13176 14004 18672 21006 23729 26352 28008 42012 47458 56016 71187 84024 94916 142374 168048 189832 213561 284748 379664 427122 569496 640683 854244 1138992 1281366 1708488 2562732 3416976 5125464 10250928