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3173089920 = 2735711132127
BaseRepresentation
bin1011110100100001…
…1000001010000000
322012010201200001220
42331020120022000
522444302334140
61242510155040
7141426551010
oct27510301200
98163650056
103173089920
111389143470
127467b2a80
133b7509100
142215c1c40
15138884bd0
hexbd218280

3173089920 has 768 divisors, whose sum is σ = 13762068480. Its totient is φ = 603832320.

The previous prime is 3173089901. The next prime is 3173089937. The reversal of 3173089920 is 299803713.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24984897 + ... + 24985023.

It is an arithmetic number, because the mean of its divisors is an integer number (17919360).

Almost surely, 23173089920 is an apocalyptic number.

3173089920 is a gapful number since it is divisible by the number (30) 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 3173089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881034240).

3173089920 is an abundant number, since it is smaller than the sum of its proper divisors (10588978560).

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

3173089920 is a wasteful number, since it uses less digits than its factorization.

3173089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 3173089920 is about 56330.1865787785. The cubic root of 3173089920 is about 1469.4702334630.

The spelling of 3173089920 in words is "three billion, one hundred seventy-three million, eighty-nine thousand, nine hundred twenty".