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132282066 = 23731719199
BaseRepresentation
bin1111110001001…
…11011011010010
3100012220121212210
413320213123102
5232331011231
621043132550
73164244000
oct770473322
9305817783
10132282066
1168740524
1238374156
1321537417
14137d5a70
15b92ea46
hex7e276d2

132282066 has 128 divisors (see below), whose sum is σ = 345600000. Its totient is φ = 33530112.

The previous prime is 132282043. The next prime is 132282091. The reversal of 132282066 is 660282231.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664635 + ... + 664833.

It is an arithmetic number, because the mean of its divisors is an integer number (2700000).

Almost surely, 2132282066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132282066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800000).

132282066 is an abundant number, since it is smaller than the sum of its proper divisors (213317934).

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

132282066 is a wasteful number, since it uses less digits than its factorization.

132282066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 132282066 is about 11501.3940894137. The cubic root of 132282066 is about 509.5267505311.

The spelling of 132282066 in words is "one hundred thirty-two million, two hundred eighty-two thousand, sixty-six".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 49 51 57 98 102 114 119 133 147 199 238 266 294 323 343 357 398 399 597 646 686 714 798 833 931 969 1029 1194 1393 1666 1862 1938 2058 2261 2499 2786 2793 3383 3781 4179 4522 4998 5586 5831 6517 6766 6783 7562 8358 9751 10149 11343 11662 13034 13566 15827 17493 19502 19551 20298 22686 23681 26467 29253 31654 34986 39102 47362 47481 52934 58506 64277 68257 71043 79401 94962 110789 128554 136514 142086 158802 165767 185269 192831 204771 221578 331534 332367 370538 385662 409542 449939 497301 555807 664734 899878 994602 1111614 1160369 1296883 1349817 2320738 2593766 2699634 3149573 3481107 3890649 6299146 6962214 7781298 9448719 18897438 22047011 44094022 66141033 132282066