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132143616 = 293311279
BaseRepresentation
bin1111110000001…
…01101000000000
3100012122120222000
413320011220000
5232312043431
621040144000
73163126233
oct770055000
9305576860
10132143616
1168656500
1238308000
13214b93b7
141379b41a
15b9039e6
hex7e05a00

132143616 has 240 divisors, whose sum is σ = 435388800. Its totient is φ = 39536640.

The previous prime is 132143587. The next prime is 132143621. The reversal of 132143616 is 616341231.

132143616 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 43 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 132143616.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1672665 + ... + 1672743.

It is an arithmetic number, because the mean of its divisors is an integer number (1814120).

Almost surely, 2132143616 is an apocalyptic number.

132143616 is a gapful number since it is divisible by the number (16) 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 132143616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217694400).

132143616 is an abundant number, since it is smaller than the sum of its proper divisors (303245184).

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

132143616 is an equidigital number, since it uses as much as digits as its factorization.

132143616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 132143616 is about 11495.3736781368. The cubic root of 132143616 is about 509.3489269704.

Adding to 132143616 its reverse (616341231), we get a palindrome (748484847).

The spelling of 132143616 in words is "one hundred thirty-two million, one hundred forty-three thousand, six hundred sixteen".