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2105771406 = 2319149151821
BaseRepresentation
bin111110110000011…
…1000010110001110
312102202101021022120
41331200320112032
513303034141111
6544541553410
7103116522144
oct17540702616
95382337276
102105771406
11990720252
124a9275866
1327735baab
1415d94d594
15c4d07406
hex7d83858e

2105771406 has 64 divisors (see below), whose sum is σ = 4497984000. Its totient is φ = 655344000.

The previous prime is 2105771399. The next prime is 2105771407. The reversal of 2105771406 is 6041775012.

2105771406 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105771407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2564476 + ... + 2565296.

It is an arithmetic number, because the mean of its divisors is an integer number (70281000).

Almost surely, 22105771406 is an apocalyptic number.

2105771406 is an abundant number, since it is smaller than the sum of its proper divisors (2392212594).

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

2105771406 is a wasteful number, since it uses less digits than its factorization.

2105771406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145.

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 2105771406 is about 45888.6849452019. The cubic root of 2105771406 is about 1281.7512256167.

The spelling of 2105771406 in words is "two billion, one hundred five million, seven hundred seventy-one thousand, four hundred six".

Divisors: 1 2 3 6 19 38 57 114 149 151 298 302 447 453 821 894 906 1642 2463 2831 2869 4926 5662 5738 8493 8607 15599 16986 17214 22499 31198 44998 46797 67497 93594 122329 123971 134994 244658 247942 366987 371913 427481 733974 743826 854962 1282443 2324251 2355449 2564886 4648502 4710898 6972753 7066347 13945506 14132694 18471679 36943358 55415037 110830074 350961901 701923802 1052885703 2105771406