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132030000 = 243454163
BaseRepresentation
bin1111101111010…
…01111000110000
3100012102211010000
413313221320300
5232244430000
621033510000
73162144054
oct767517060
9305384100
10132030000
1168589103
1238272300
132147977b
141376bc64
15b8d0000
hex7de9e30

132030000 has 250 divisors, whose sum is σ = 480443084. Its totient is φ = 34992000.

The previous prime is 132029969. The next prime is 132030001. The reversal of 132030000 is 30231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (250).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (132030001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 809919 + ... + 810081.

Almost surely, 2132030000 is an apocalyptic number.

132030000 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 132030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240221542).

132030000 is an abundant number, since it is smaller than the sum of its proper divisors (348413084).

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

132030000 is an equidigital number, since it uses as much as digits as its factorization.

132030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 132030000 is about 11490.4308013233. The cubic root of 132030000 is about 509.2029070999.

Adding to 132030000 its reverse (30231), we get a palindrome (132060231).

The spelling of 132030000 in words is "one hundred thirty-two million, thirty thousand".