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2108474640 = 2432517210133
BaseRepresentation
bin111110110101100…
…1100010100010000
312102221110121110100
41331223030110100
513304232142030
6545115532400
7103151511246
oct17553142420
95387417410
102108474640
119921a7228
124aa15a100
13277a9733c
14160054796
15c518d360
hex7dacc510

2108474640 has 180 divisors, whose sum is σ = 7522731684. Its totient is φ = 529133568.

The previous prime is 2108474639. The next prime is 2108474663. The reversal of 2108474640 is 464748012.

2108474640 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 4 + 7 + 4 + 640 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 299843856 + 1808630784 = 17316^2 + 42528^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 2108474595 and 2108474604.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 203014 + ... + 213146.

Almost surely, 22108474640 is an apocalyptic number.

2108474640 is a gapful number since it is divisible by the number (20) 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 2108474640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761365842).

2108474640 is an abundant number, since it is smaller than the sum of its proper divisors (5414257044).

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

2108474640 is a wasteful number, since it uses less digits than its factorization.

2108474640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10186 (or 10160 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2108474640 is about 45918.1297528547. The cubic root of 2108474640 is about 1282.2994636464.

The spelling of 2108474640 in words is "two billion, one hundred eight million, four hundred seventy-four thousand, six hundred forty".