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2100000440 = 235109148121
BaseRepresentation
bin111110100101011…
…0111011010111000
312102100112002001002
41331022313122320
513300100003230
6544214144132
7103016465156
oct17512673270
95370462032
102100000440
1198843945a
124a7352048
132760bb115
1415cc8a3d6
15c4567545
hex7d2b76b8

2100000440 has 32 divisors (see below), whose sum is σ = 4729430160. Its totient is φ = 839212800.

The previous prime is 2100000407. The next prime is 2100000449. The reversal of 2100000440 is 440000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100000449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19580 + ... + 67700.

Almost surely, 22100000440 is an apocalyptic number.

2100000440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100000440 is an abundant number, since it is smaller than the sum of its proper divisors (2629429720).

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

2100000440 is a wasteful number, since it uses less digits than its factorization.

2100000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49223 (or 49219 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2100000440 is about 45825.7617503517. The cubic root of 2100000440 is about 1280.5792544248.

Adding to 2100000440 its reverse (440000012), we get a palindrome (2540000452).

The spelling of 2100000440 in words is "two billion, one hundred million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 1091 2182 4364 5455 8728 10910 21820 43640 48121 96242 192484 240605 384968 481210 962420 1924840 52500011 105000022 210000044 262500055 420000088 525000110 1050000220 2100000440