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132411132 = 223372131191
BaseRepresentation
bin1111110010001…
…10111011111100
3100020011011221000
413321012323330
5232344124012
621050010300
73165322200
oct771067374
9306134830
10132411132
1168819497
1238416990
13215810a9
141382ab00
15b957ddc
hex7e46efc

132411132 has 144 divisors (see below), whose sum is σ = 404490240. Its totient is φ = 37346400.

The previous prime is 132411121. The next prime is 132411157. The reversal of 132411132 is 231114231.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693157 + ... + 693347.

It is an arithmetic number, because the mean of its divisors is an integer number (2808960).

Almost surely, 2132411132 is an apocalyptic number.

132411132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132411132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202245120).

132411132 is an abundant number, since it is smaller than the sum of its proper divisors (272079108).

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

132411132 is a wasteful number, since it uses less digits than its factorization.

132411132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 334 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 132411132 is about 11507.0036064998. The cubic root of 132411132 is about 509.6924096797.

Adding to 132411132 its reverse (231114231), we get a palindrome (363525363).

The spelling of 132411132 in words is "one hundred thirty-two million, four hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 131 147 189 191 196 252 262 294 378 382 393 441 524 573 588 756 764 786 882 917 1146 1179 1323 1337 1572 1719 1764 1834 2292 2358 2646 2674 2751 3438 3537 3668 4011 4716 5157 5292 5348 5502 6419 6876 7074 8022 8253 9359 10314 11004 12033 12838 14148 16044 16506 18718 19257 20628 24066 24759 25021 25676 28077 33012 36099 37436 38514 48132 49518 50042 56154 57771 72198 75063 77028 84231 99036 100084 112308 115542 144396 150126 168462 173313 175147 225189 231084 252693 300252 336924 346626 350294 450378 505386 525441 675567 693252 700588 900756 1010772 1050882 1226029 1351134 1576323 2101764 2452058 2702268 3152646 3678087 4728969 4904116 6305292 7356174 9457938 11034261 14712348 18915876 22068522 33102783 44137044 66205566 132411132