Search a number
-
+
132432120 = 23325367867
BaseRepresentation
bin1111110010011…
…00000011111000
3100020012020201100
413321030003320
5232400311440
621050251400
73165440322
oct771140370
9306166640
10132432120
1168833237
1238426b60
132158a802
1413834612
15b95e230
hex7e4c0f8

132432120 has 48 divisors (see below), whose sum is σ = 430405560. Its totient is φ = 35315136.

The previous prime is 132432103. The next prime is 132432127. The reversal of 132432120 is 21234231.

132432120 is a `hidden beast` number, since 1 + 324 + 321 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132432093 and 132432102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132432127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183574 + ... + 184293.

Almost surely, 2132432120 is an apocalyptic number.

132432120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132432120 is an abundant number, since it is smaller than the sum of its proper divisors (297973440).

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

132432120 is a wasteful number, since it uses less digits than its factorization.

132432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367884 (or 367877 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132432120 is about 11507.9155367078. The cubic root of 132432120 is about 509.7193380781.

Adding to 132432120 its reverse (21234231), we get a palindrome (153666351).

The spelling of 132432120 in words is "one hundred thirty-two million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 367867 735734 1103601 1471468 1839335 2207202 2942936 3310803 3678670 4414404 5518005 6621606 7357340 8828808 11036010 13243212 14714680 16554015 22072020 26486424 33108030 44144040 66216060 132432120