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8130870 = 23251143191
BaseRepresentation
bin11111000001000100110110
3120022002110100
4133001010312
54040141440
6450134530
7126053106
oct37010466
916262410
108130870
114653930
122881446
1318b8b87
141119206
15aa9230
hex7c1136

8130870 has 96 divisors (see below), whose sum is σ = 23721984. Its totient is φ = 1915200.

The previous prime is 8130869. The next prime is 8130877. The reversal of 8130870 is 780318.

It is a super-2 number, since 2×81308702 = 132222093913800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8130877) 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 47 ways as a sum of consecutive naturals, for example, 42475 + ... + 42665.

It is an arithmetic number, because the mean of its divisors is an integer number (247104).

Almost surely, 28130870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8130870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11860992).

8130870 is an abundant number, since it is smaller than the sum of its proper divisors (15591114).

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

8130870 is a wasteful number, since it uses less digits than its factorization.

8130870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 8130870 is about 2851.4680429561. The cubic root of 8130870 is about 201.0846899371.

The spelling of 8130870 in words is "eight million, one hundred thirty thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 43 45 55 66 86 90 99 110 129 165 191 198 215 258 330 382 387 430 473 495 573 645 774 946 955 990 1146 1290 1419 1719 1910 1935 2101 2365 2838 2865 3438 3870 4202 4257 4730 5730 6303 7095 8213 8514 8595 10505 12606 14190 16426 17190 18909 21010 21285 24639 31515 37818 41065 42570 49278 63030 73917 82130 90343 94545 123195 147834 180686 189090 246390 271029 369585 451715 542058 739170 813087 903430 1355145 1626174 2710290 4065435 8130870