[go: up one dir, main page]

Search a number
-
+
132433116 = 223193141457
BaseRepresentation
bin1111110010011…
…00010011011100
3100020012022002020
413321030103130
5232400324431
621050300140
73165443244
oct771142334
9306168066
10132433116
1168833a62
1238427650
132158b0ba
1413834b24
15b95e696
hex7e4c4dc

132433116 has 96 divisors (see below), whose sum is σ = 344709120. Its totient is φ = 39398400.

The previous prime is 132433109. The next prime is 132433121. The reversal of 132433116 is 611334231.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 289560 + ... + 290016.

It is an arithmetic number, because the mean of its divisors is an integer number (3590720).

Almost surely, 2132433116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132433116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172354560).

132433116 is an abundant number, since it is smaller than the sum of its proper divisors (212276004).

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

132433116 is a wasteful number, since it uses less digits than its factorization.

132433116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 553 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 132433116 is about 11507.9588111880. The cubic root of 132433116 is about 509.7206159130.

Adding to 132433116 its reverse (611334231), we get a palindrome (743767347).

The spelling of 132433116 in words is "one hundred thirty-two million, four hundred thirty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 19 31 38 41 57 62 76 82 93 114 123 124 164 186 228 246 372 457 492 589 779 914 1178 1271 1371 1558 1767 1828 2337 2356 2542 2742 3116 3534 3813 4674 5084 5484 7068 7626 8683 9348 14167 15252 17366 18737 24149 26049 28334 34732 37474 42501 48298 52098 56211 56668 72447 74948 85002 96596 104196 112422 144894 170004 224844 269173 289788 356003 538346 580847 712006 807519 1068009 1076692 1161694 1424012 1615038 1742541 2136018 2323388 3230076 3485082 4272036 6970164 11036093 22072186 33108279 44144372 66216558 132433116