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132330330 = 232511349383
BaseRepresentation
bin1111110001100…
…11001101011010
3100020000002002100
413320303031122
5232334032310
621044144230
73164534466
oct770631532
9306002070
10132330330
1168773810
1238398076
1321553392
14138094a6
15b93dec0
hex7e3335a

132330330 has 96 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 31904640.

The previous prime is 132330323. The next prime is 132330337. The reversal of 132330330 is 33033231.

132330330 is a `hidden beast` number, since 1 + 3 + 2 + 330 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (132330323) and next prime (132330337).

It is a super-2 number, since 2×1323303302 = 35022632475817800, which contains 22 as substring.

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 (132330337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345319 + ... + 345701.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2132330330 is an apocalyptic number.

132330330 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 132330330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

132330330 is an abundant number, since it is smaller than the sum of its proper divisors (245064870).

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

132330330 is a wasteful number, since it uses less digits than its factorization.

132330330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 132330330 is about 11503.4920784951. The cubic root of 132330330 is about 509.5887110816.

Adding to 132330330 its reverse (33033231), we get a palindrome (165363561).

The spelling of 132330330 in words is "one hundred thirty-two million, three hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 349 383 495 698 766 990 1047 1149 1745 1915 2094 2298 3141 3447 3490 3830 3839 4213 5235 5745 6282 6894 7678 8426 10470 11490 11517 12639 15705 17235 19195 21065 23034 25278 31410 34470 34551 37917 38390 42130 57585 63195 69102 75834 115170 126390 133667 172755 189585 267334 345510 379170 401001 668335 802002 1203003 1336670 1470337 2005005 2406006 2940674 4010010 4411011 6015015 7351685 8822022 12030030 13233033 14703370 22055055 26466066 44110110 66165165 132330330