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10164028 = 22717131163
BaseRepresentation
bin100110110001…
…011100111100
3201010101102111
4212301130330
510100222103
61001503404
7152251510
oct46613474
921111374
1010164028
115812426
1234a1b64
13214b424
1414c8140
15d5b86d
hex9b173c

10164028 has 48 divisors (see below), whose sum is σ = 21821184. Its totient is φ = 4043520.

The previous prime is 10164019. The next prime is 10164029. The reversal of 10164028 is 82046101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164029) 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 15 ways as a sum of consecutive naturals, for example, 62275 + ... + 62437.

It is an arithmetic number, because the mean of its divisors is an integer number (454608).

Almost surely, 210164028 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 10164028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10910592).

10164028 is an abundant number, since it is smaller than the sum of its proper divisors (11657156).

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

10164028 is a wasteful number, since it uses less digits than its factorization.

10164028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 10164028 is about 3188.1072754849. The cubic root of 10164028 is about 216.6150451642.

The spelling of 10164028 in words is "ten million, one hundred sixty-four thousand, twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 119 131 163 238 262 326 476 524 652 917 1141 1834 2227 2282 2771 3668 4454 4564 5542 8908 11084 15589 19397 21353 31178 38794 42706 62356 77588 85412 149471 298942 363001 597884 726002 1452004 2541007 5082014 10164028