Search a number
-
+
2106559812 = 2237181349397
BaseRepresentation
bin111110110001111…
…1000110101000100
312102210212022210210
41331203320311010
513303234403222
6545010515420
7103126314540
oct17543706504
95383768723
102106559812
11991109625
124a9595b70
132775768c6
1415dab6a20
15c4e10d0c
hex7d8f8d44

2106559812 has 96 divisors (see below), whose sum is σ = 5678982400. Its totient is φ = 595330560.

The previous prime is 2106559801. The next prime is 2106559823. The reversal of 2106559812 is 2189556012.

It is an interprime number because it is at equal distance from previous prime (2106559801) and next prime (2106559823).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5305998 + ... + 5306394.

Almost surely, 22106559812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106559812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839491200).

2106559812 is an abundant number, since it is smaller than the sum of its proper divisors (3572422588).

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

2106559812 is a wasteful number, since it uses less digits than its factorization.

2106559812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 2106559812 is about 45897.2745596076. The cubic root of 2106559812 is about 1281.9111692624.

The spelling of 2106559812 in words is "two billion, one hundred six million, five hundred fifty-nine thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 181 349 362 397 543 698 724 794 1047 1086 1191 1267 1396 1588 2094 2172 2382 2443 2534 2779 3801 4188 4764 4886 5068 5558 7329 7602 8337 9772 11116 14658 15204 16674 29316 33348 63169 71857 126338 138553 143714 189507 215571 252676 277106 287428 379014 415659 431142 442183 502999 554212 758028 831318 862284 884366 969871 1005998 1326549 1508997 1662636 1768732 1939742 2011996 2653098 2909613 3017994 3879484 5306196 5819226 6035988 11638452 25078093 50156186 75234279 100312372 150468558 175546651 300937116 351093302 526639953 702186604 1053279906 2106559812