Search a number
-
+
419162106 = 231141191811
BaseRepresentation
bin11000111110111…
…110011111111010
31002012201122022110
4120332332133322
51324301141411
6105332033150
713246550646
oct3076763772
91065648273
10419162106
111a5673770
12b84627b6
1368ac051c
143d951c26
1526beb2a6
hex18fbe7fa

419162106 has 64 divisors (see below), whose sum is σ = 942907392. Its totient is φ = 123120000.

The previous prime is 419162099. The next prime is 419162111. The reversal of 419162106 is 601261914.

It is a happy number.

It is a super-2 number, since 2×4191621062 = 351393742212710472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516441 + ... + 517251.

It is an arithmetic number, because the mean of its divisors is an integer number (14732928).

Almost surely, 2419162106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419162106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471453696).

419162106 is an abundant number, since it is smaller than the sum of its proper divisors (523745286).

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

419162106 is a wasteful number, since it uses less digits than its factorization.

419162106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 419162106 is about 20473.4488057093. The cubic root of 419162106 is about 748.3889007348.

The spelling of 419162106 in words is "four hundred nineteen million, one hundred sixty-two thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 191 246 382 451 573 811 902 1146 1353 1622 2101 2433 2706 4202 4866 6303 7831 8921 12606 15662 17842 23493 26763 33251 46986 53526 66502 86141 99753 154901 172282 199506 258423 309802 365761 464703 516846 731522 929406 1097283 1703911 2194566 3407822 5111733 6350941 10223466 12701882 19052823 38105646 69860351 139720702 209581053 419162106