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8528130 = 23251337197
BaseRepresentation
bin100000100010…
…000100000010
3121001021101200
4200202010002
54140400010
6502442030
7132326232
oct40420402
917037350
108528130
1148a5346
122a33316
1319c7940
1411bdcc2
15b36cc0
hex822102

8528130 has 96 divisors (see below), whose sum is σ = 24648624. Its totient is φ = 2032128.

The previous prime is 8528111. The next prime is 8528141. The reversal of 8528130 is 318258.

It is a happy number.

8528130 is a `hidden beast` number, since 8 + 528 + 130 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6548481 + 1979649 = 2559^2 + 1407^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8528094 and 8528103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43192 + ... + 43388.

Almost surely, 28528130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8528130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12324312).

8528130 is an abundant number, since it is smaller than the sum of its proper divisors (16120494).

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

8528130 is a wasteful number, since it uses less digits than its factorization.

8528130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8528130 is about 2920.2962178519. The cubic root of 8528130 is about 204.3076384910.

The spelling of 8528130 in words is "eight million, five hundred twenty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 37 39 45 65 74 78 90 111 117 130 185 195 197 222 234 333 370 390 394 481 555 585 591 666 962 985 1110 1170 1182 1443 1665 1773 1970 2405 2561 2886 2955 3330 3546 4329 4810 5122 5910 7215 7289 7683 8658 8865 12805 14430 14578 15366 17730 21645 21867 23049 25610 36445 38415 43290 43734 46098 65601 72890 76830 94757 109335 115245 131202 189514 218670 230490 284271 328005 473785 568542 656010 852813 947570 1421355 1705626 2842710 4264065 8528130