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130067982 = 2321136189
BaseRepresentation
bin1111100000010…
…10111000001110
3100001202010201200
413300022320032
5231244133412
620523450330
73136362642
oct760127016
9301663650
10130067982
1167469000
12376869a6
1320c40705
14133bac22
15b6439dc
hex7c0ae0e

130067982 has 96 divisors (see below), whose sum is σ = 318595680. Its totient is φ = 38332800.

The previous prime is 130067963. The next prime is 130067983. The reversal of 130067982 is 289760031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130067983) 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 47 ways as a sum of consecutive naturals, for example, 1461394 + ... + 1461482.

It is an arithmetic number, because the mean of its divisors is an integer number (3318705).

Almost surely, 2130067982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130067982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159297840).

130067982 is an abundant number, since it is smaller than the sum of its proper divisors (188527698).

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

130067982 is a wasteful number, since it uses less digits than its factorization.

130067982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 130067982 is about 11404.7350692596. The cubic root of 130067982 is about 506.6679898588.

The spelling of 130067982 in words is "one hundred thirty million, sixty-seven thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 89 99 121 122 178 183 198 242 267 363 366 534 549 671 726 801 979 1089 1098 1331 1342 1602 1958 2013 2178 2662 2937 3993 4026 5429 5874 6039 7381 7986 8811 10769 10858 11979 12078 14762 16287 17622 21538 22143 23958 32307 32574 44286 48861 59719 64614 66429 81191 96921 97722 118459 119438 132858 162382 179157 193842 236918 243573 355377 358314 487146 537471 656909 710754 730719 1066131 1074942 1313818 1461438 1970727 2132262 3941454 5912181 7225999 11824362 14451998 21677997 43355994 65033991 130067982