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20095488 = 29327289
BaseRepresentation
bin100110010101…
…0001000000000
31101210221211100
41030222020000
520121023423
61554414400
7332544300
oct114521000
941727740
1020095488
1110386046
126891400
134217a2a
142951600
151b6e343
hex132a200

20095488 has 180 divisors, whose sum is σ = 68223870. Its totient is φ = 5677056.

The previous prime is 20095447. The next prime is 20095489. The reversal of 20095488 is 88459002.

It can be written as a sum of positive squares in only one way, i.e., 19079424 + 1016064 = 4368^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20095489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225748 + ... + 225836.

Almost surely, 220095488 is an apocalyptic number.

20095488 is a gapful number since it is divisible by the number (28) 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 20095488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34111935).

20095488 is an abundant number, since it is smaller than the sum of its proper divisors (48128382).

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

20095488 is an equidigital number, since it uses as much as digits as its factorization.

20095488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20095488 is about 4482.7991255464. The cubic root of 20095488 is about 271.8730664944.

The spelling of 20095488 in words is "twenty million, ninety-five thousand, four hundred eighty-eight".