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419070096 = 24322910209
BaseRepresentation
bin11000111110101…
…000000010010000
31002012112222002200
4120332220002100
51324240220341
6105330043200
713246015464
oct3076500220
91065488080
10419070096
111a5610625
12b8419500
1368a8a693
143d92a4a4
1526bcddb6
hex18fa8090

419070096 has 30 divisors (see below), whose sum is σ = 1172814630. Its totient is φ = 139689984.

The previous prime is 419070083. The next prime is 419070107. The reversal of 419070096 is 690070914.

It can be written as a sum of positive squares in only one way, i.e., 417630096 + 1440000 = 20436^2 + 1200^2 .

It is a super-2 number, since 2×4190700962 = 351239490722898432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 419070096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1454961 + ... + 1455248.

It is an arithmetic number, because the mean of its divisors is an integer number (39093821).

Almost surely, 2419070096 is an apocalyptic number.

It is an amenable number.

419070096 is an abundant number, since it is smaller than the sum of its proper divisors (753744534).

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

419070096 is a wasteful number, since it uses less digits than its factorization.

419070096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910223 (or 2910214 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 419070096 is about 20471.2016256985. The cubic root of 419070096 is about 748.3341372747.

The spelling of 419070096 in words is "four hundred nineteen million, seventy thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2910209 5820418 8730627 11640836 17461254 23281672 26191881 34922508 46563344 52383762 69845016 104767524 139690032 209535048 419070096