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132240330 = 2335647757
BaseRepresentation
bin1111110000111…
…01001111001010
3100012211111122000
413320131033022
5232323142310
621042211430
73164011215
oct770351712
9305744560
10132240330
1168712132
1238353b76
1321521421
14137c477c
15b9224c0
hex7e1d3ca

132240330 has 64 divisors (see below), whose sum is σ = 353652480. Its totient is φ = 35163072.

The previous prime is 132240307. The next prime is 132240341. The reversal of 132240330 is 33042231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174312 + ... + 175068.

It is an arithmetic number, because the mean of its divisors is an integer number (5525820).

Almost surely, 2132240330 is an apocalyptic number.

132240330 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 132240330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176826240).

132240330 is an abundant number, since it is smaller than the sum of its proper divisors (221412150).

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

132240330 is a wasteful number, since it uses less digits than its factorization.

132240330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 132240330 is about 11499.5795575317. The cubic root of 132240330 is about 509.4731583701.

Adding to 132240330 its reverse (33042231), we get a palindrome (165282561).

The spelling of 132240330 in words is "one hundred thirty-two million, two hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 647 757 1294 1514 1941 2271 3235 3785 3882 4542 5823 6470 6813 7570 9705 11355 11646 13626 17469 19410 20439 22710 29115 34065 34938 40878 58230 68130 87345 102195 174690 204390 489779 979558 1469337 2448895 2938674 4408011 4897790 7346685 8816022 13224033 14693370 22040055 26448066 44080110 66120165 132240330