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132108048 = 24327691193
BaseRepresentation
bin1111101111111…
…00111100010000
3100012120210011200
413313330330100
5232304424143
621035311200
73162620442
oct767747420
9305523150
10132108048
1168631806
12382ab500
13214a6157
141378c492
15b8e81d3
hex7dfcf10

132108048 has 60 divisors (see below), whose sum is σ = 370510140. Its totient is φ = 43941888.

The previous prime is 132108047. The next prime is 132108059. The reversal of 132108048 is 840801231.

It can be written as a sum of positive squares in 2 ways, for example, as 59721984 + 72386064 = 7728^2 + 8508^2 .

It is not an unprimeable number, because it can be changed into a prime (132108047) 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 11 ways as a sum of consecutive naturals, for example, 110140 + ... + 111332.

It is an arithmetic number, because the mean of its divisors is an integer number (6175169).

Almost surely, 2132108048 is an apocalyptic number.

132108048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132108048 is an abundant number, since it is smaller than the sum of its proper divisors (238402092).

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

132108048 is a wasteful number, since it uses less digits than its factorization.

132108048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 132108048 is about 11493.8265168742. The cubic root of 132108048 is about 509.3032237957.

Adding to 132108048 its reverse (840801231), we get a palindrome (972909279).

The spelling of 132108048 in words is "one hundred thirty-two million, one hundred eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 769 1193 1538 2307 2386 3076 3579 4614 4772 6152 6921 7158 9228 9544 10737 12304 13842 14316 18456 19088 21474 27684 28632 36912 42948 55368 57264 85896 110736 171792 917417 1834834 2752251 3669668 5504502 7339336 8256753 11009004 14678672 16513506 22018008 33027012 44036016 66054024 132108048