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132132330 = 233511172617
BaseRepresentation
bin1111110000000…
…10110111101010
3100012122000111000
413320002313222
5232311213310
621040015430
73163051311
oct770026752
9305560430
10132132330
1168648a80
1238301576
13214b4215
1413797278
15b9004c0
hex7e02dea

132132330 has 128 divisors (see below), whose sum is σ = 407151360. Its totient is φ = 30136320.

The previous prime is 132132293. The next prime is 132132331. The reversal of 132132330 is 33231231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132132331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49182 + ... + 51798.

It is an arithmetic number, because the mean of its divisors is an integer number (3180870).

Almost surely, 2132132330 is an apocalyptic number.

132132330 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 132132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203575680).

132132330 is an abundant number, since it is smaller than the sum of its proper divisors (275019030).

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

132132330 is a wasteful number, since it uses less digits than its factorization.

132132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 132132330 is about 11494.8827745219. The cubic root of 132132330 is about 509.3344258898.

Adding to 132132330 its reverse (33231231), we get a palindrome (165363561).

The spelling of 132132330 in words is "one hundred thirty-two million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 85 90 99 102 110 135 153 165 170 187 198 255 270 297 306 330 374 459 495 510 561 594 765 918 935 990 1122 1485 1530 1683 1870 2295 2617 2805 2970 3366 4590 5049 5234 5610 7851 8415 10098 13085 15702 16830 23553 25245 26170 28787 39255 44489 47106 50490 57574 70659 78510 86361 88978 117765 133467 141318 143935 172722 222445 235530 259083 266934 287870 353295 400401 431805 444890 489379 518166 667335 706590 777249 800802 863610 978758 1201203 1295415 1334670 1468137 1554498 2002005 2402406 2446895 2590830 2936274 3886245 4004010 4404411 4893790 6006015 7340685 7772490 8808822 12012030 13213233 14681370 22022055 26426466 44044110 66066165 132132330