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2104594128 = 24327131979107
BaseRepresentation
bin111110101110001…
…1000111011010000
312102200011110101200
41331130120323100
513302234003003
6544500431200
7103103516640
oct17534307320
95380143350
102104594128
1198aa9679a
124a89a8500
13277038c90
1415d724520
15c4b736a3
hex7d718ed0

2104594128 has 480 divisors, whose sum is σ = 7799500800. Its totient is φ = 514335744.

The previous prime is 2104594103. The next prime is 2104594181. The reversal of 2104594128 is 8214954012.

It is a super-2 number, since 2×21045941282 = 8858632887224160768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2104594092 and 2104594101.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 19669051 + ... + 19669157.

It is an arithmetic number, because the mean of its divisors is an integer number (16248960).

Almost surely, 22104594128 is an apocalyptic number.

2104594128 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 2104594128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899750400).

2104594128 is an abundant number, since it is smaller than the sum of its proper divisors (5694906672).

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

2104594128 is a wasteful number, since it uses less digits than its factorization.

2104594128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 230 counting only the distinct ones).

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

The square root of 2104594128 is about 45875.8556105497. The cubic root of 2104594128 is about 1281.5123173143.

The spelling of 2104594128 in words is "two billion, one hundred four million, five hundred ninety-four thousand, one hundred twenty-eight".