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2100610640 = 24561430453
BaseRepresentation
bin111110100110100…
…1100011001010000
312102101200002002002
41331031030121100
513300224020030
6544235213132
7103024616162
oct17515143120
95371602062
102100610640
11988815957
124a75a71a8
13276272a9b
1415cda8932
15c4638245
hex7d34c650

2100610640 has 40 divisors (see below), whose sum is σ = 4963995528. Its totient is φ = 826467840.

The previous prime is 2100610619. The next prime is 2100610667. The reversal of 2100610640 is 460160012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 65157184 + 2035453456 = 8072^2 + 45116^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210347 + ... + 220106.

Almost surely, 22100610640 is an apocalyptic number.

2100610640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100610640 is an abundant number, since it is smaller than the sum of its proper divisors (2863384888).

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

2100610640 is a wasteful number, since it uses less digits than its factorization.

2100610640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430527 (or 430521 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2100610640 is about 45832.4190939121. The cubic root of 2100610640 is about 1280.7032756350.

Adding to 2100610640 its reverse (460160012), we get a palindrome (2560770652).

The spelling of 2100610640 in words is "two billion, one hundred million, six hundred ten thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 430453 860906 1721812 2152265 3443624 4304530 6887248 8609060 17218120 26257633 34436240 52515266 105030532 131288165 210061064 262576330 420122128 525152660 1050305320 2100610640