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2105400834 = 232116966713
BaseRepresentation
bin111110101111101…
…1101111000000010
312102201200102222200
41331133131320002
513302440311314
6544530014030
7103113416565
oct17537357002
95381612880
102105400834
11990497899
124a9117316
1327725c214
1415d8944dc
15c4c82709
hex7d7dde02

2105400834 has 12 divisors (see below), whose sum is σ = 4561701846. Its totient is φ = 701800272.

The previous prime is 2105400827. The next prime is 2105400859. The reversal of 2105400834 is 4380045012.

It can be written as a sum of positive squares in only one way, i.e., 1285437609 + 819963225 = 35853^2 + 28635^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2105400798 and 2105400807.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 58483339 + ... + 58483374.

Almost surely, 22105400834 is an apocalyptic number.

2105400834 is an abundant number, since it is smaller than the sum of its proper divisors (2456301012).

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

2105400834 is a wasteful number, since it uses less digits than its factorization.

2105400834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116966721 (or 116966718 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2105400834 is about 45884.6470401593. The cubic root of 2105400834 is about 1281.6760340141.

Adding to 2105400834 its reverse (4380045012), we get a palindrome (6485445846).

The spelling of 2105400834 in words is "two billion, one hundred five million, four hundred thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 116966713 233933426 350900139 701800278 1052700417 2105400834