Search a number
-
+
132663636 = 22337175481
BaseRepresentation
bin1111110100001…
…00100101010100
3100020122000022000
413322010211110
5232430214021
621055235300
73200423310
oct772044524
9306560260
10132663636
1168981176
1238518b30
132163bcc1
1413894b40
15b9a7b26
hex7e84954

132663636 has 48 divisors (see below), whose sum is σ = 393079680. Its totient is φ = 37903680.

The previous prime is 132663613. The next prime is 132663637. The reversal of 132663636 is 636366231.

It is a happy number.

132663636 is a `hidden beast` number, since 13 + 2 + 6 + 6 + 3 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 132663636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132663637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86985 + ... + 88496.

It is an arithmetic number, because the mean of its divisors is an integer number (8189160).

Almost surely, 2132663636 is an apocalyptic number.

It is an amenable number.

132663636 is an abundant number, since it is smaller than the sum of its proper divisors (260416044).

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

132663636 is a wasteful number, since it uses less digits than its factorization.

132663636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175501 (or 175493 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 132663636 is about 11517.9701336650. The cubic root of 132663636 is about 510.0161932575.

The spelling of 132663636 in words is "one hundred thirty-two million, six hundred sixty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 175481 350962 526443 701924 1052886 1228367 1579329 2105772 2456734 3158658 3685101 4737987 4913468 6317316 7370202 9475974 11055303 14740404 18951948 22110606 33165909 44221212 66331818 132663636