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8130928 = 241323197
BaseRepresentation
bin11111000001000101110000
3120022002112111
4133001011300
54040142203
6450135104
7126053221
oct37010560
916262474
108130928
114653983
122881494
1318b8c00
141119248
15aa926d
hex7c1170

8130928 has 60 divisors (see below), whose sum is σ = 17790528. Its totient is φ = 3594240.

The previous prime is 8130911. The next prime is 8130931. The reversal of 8130928 is 8290318.

It is a super-2 number, since 2×81309282 = 132223980282368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 8130928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83776 + ... + 83872.

Almost surely, 28130928 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 8130928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8895264).

8130928 is an abundant number, since it is smaller than the sum of its proper divisors (9659600).

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

8130928 is a wasteful number, since it uses less digits than its factorization.

8130928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 8130928 is about 2851.4782131379. The cubic root of 8130928 is about 201.0851680690.

The spelling of 8130928 in words is "eight million, one hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 97 104 124 169 194 208 248 338 388 403 496 676 776 806 1261 1352 1552 1612 2522 2704 3007 3224 5044 5239 6014 6448 10088 10478 12028 16393 20176 20956 24056 32786 39091 41912 48112 65572 78182 83824 131144 156364 262288 312728 508183 625456 1016366 2032732 4065464 8130928