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132321040 = 2451654013
BaseRepresentation
bin1111110001100…
…00111100010000
3100012222121100021
413320300330100
5232333233130
621044033224
73164465425
oct770607420
9305877307
10132321040
1168767835
1238392814
132154c097
1413805d4c
15b93b37a
hex7e30f10

132321040 has 20 divisors (see below), whose sum is σ = 307646604. Its totient is φ = 52928384.

The previous prime is 132321029. The next prime is 132321071. The reversal of 132321040 is 40123231.

It is a happy number.

132321040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 32080896 + 100240144 = 5664^2 + 10012^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 826927 + ... + 827086.

Almost surely, 2132321040 is an apocalyptic number.

132321040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132321040 is an abundant number, since it is smaller than the sum of its proper divisors (175325564).

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

132321040 is a wasteful number, since it uses less digits than its factorization.

132321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654026 (or 1654020 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132321040 is about 11503.0882809792. The cubic root of 132321040 is about 509.5767858993.

Adding to 132321040 its reverse (40123231), we get a palindrome (172444271).

The spelling of 132321040 in words is "one hundred thirty-two million, three hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1654013 3308026 6616052 8270065 13232104 16540130 26464208 33080260 66160520 132321040