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132332500 = 2254431231
BaseRepresentation
bin1111110001100…
…11101111010100
3100020000012001201
413320303233110
5232334120000
621044202244
73164544016
oct770635724
9306005051
10132332500
1168775403
1238399384
1321554371
141380a1b6
15b93e96a
hex7e33bd4

132332500 has 60 divisors (see below), whose sum is σ = 296355136. Its totient is φ = 51660000.

The previous prime is 132332489. The next prime is 132332503. The reversal of 132332500 is 5233231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132332503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106885 + ... + 108115.

Almost surely, 2132332500 is an apocalyptic number.

132332500 is a gapful number since it is divisible by the number (10) 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 132332500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148177568).

132332500 is an abundant number, since it is smaller than the sum of its proper divisors (164022636).

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

132332500 is a wasteful number, since it uses less digits than its factorization.

132332500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 132332500 is about 11503.5863972937. The cubic root of 132332500 is about 509.5914965389.

Adding to 132332500 its reverse (5233231), we get a palindrome (137565731).

The spelling of 132332500 in words is "one hundred thirty-two million, three hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 125 172 215 250 430 500 625 860 1075 1231 1250 2150 2462 2500 4300 4924 5375 6155 10750 12310 21500 24620 26875 30775 52933 53750 61550 105866 107500 123100 153875 211732 264665 307750 529330 615500 769375 1058660 1323325 1538750 2646650 3077500 5293300 6616625 13233250 26466500 33083125 66166250 132332500