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132068430 = 232513219457
BaseRepresentation
bin1111101111100…
…11010001001110
3100012111202211100
413313303101032
5232302142210
621034403530
73162364104
oct767632116
9305452740
10132068430
1168604a6a
12382905a6
1321491100
141377bc74
15b8db5c0
hex7df344e

132068430 has 144 divisors (see below), whose sum is σ = 392249520. Its totient is φ = 30730752.

The previous prime is 132068399. The next prime is 132068473. The reversal of 132068430 is 34860231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132068394 and 132068403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 288762 + ... + 289218.

It is an arithmetic number, because the mean of its divisors is an integer number (2723955).

Almost surely, 2132068430 is an apocalyptic number.

132068430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132068430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196124760).

132068430 is an abundant number, since it is smaller than the sum of its proper divisors (260181090).

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

132068430 is a wasteful number, since it uses less digits than its factorization.

132068430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 132068430 is about 11492.1029407154. The cubic root of 132068430 is about 509.2523069066.

The spelling of 132068430 in words is "one hundred thirty-two million, sixty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 169 171 190 195 234 247 285 338 342 390 457 494 507 570 585 741 845 855 914 1014 1170 1235 1371 1482 1521 1690 1710 2223 2285 2470 2535 2742 3042 3211 3705 4113 4446 4570 5070 5941 6422 6855 7410 7605 8226 8683 9633 11115 11882 13710 15210 16055 17366 17823 19266 20565 22230 26049 28899 29705 32110 35646 41130 43415 48165 52098 53469 57798 59410 77233 78147 86830 89115 96330 106938 112879 130245 144495 154466 156294 178230 225758 231699 260490 267345 288990 338637 386165 390735 463398 534690 564395 677274 695097 772330 781470 1015911 1128790 1158495 1390194 1467427 1693185 2031822 2316990 2934854 3386370 3475485 4402281 5079555 6950970 7337135 8804562 10159110 13206843 14674270 22011405 26413686 44022810 66034215 132068430