Search a number
-
+
1968456756 = 223723434009
BaseRepresentation
bin111010101010100…
…0100010000110100
312002011222222000210
41311111010100310
513012411104011
6523154505420
766531414660
oct16525042064
95064888023
101968456756
11920162772
1246b295270
13254a81b16
141496078a0
15b7c316a6
hex75544434

1968456756 has 24 divisors (see below), whose sum is σ = 5249218240. Its totient is φ = 562416192.

The previous prime is 1968456733. The next prime is 1968456821. The reversal of 1968456756 is 6576548691.

It is a junction number, because it is equal to n+sod(n) for n = 1968456696 and 1968456705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11716921 + ... + 11717088.

Almost surely, 21968456756 is an apocalyptic number.

It is an amenable number.

1968456756 is an abundant number, since it is smaller than the sum of its proper divisors (3280761484).

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

1968456756 is a wasteful number, since it uses less digits than its factorization.

1968456756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23434023 (or 23434021 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

The square root of 1968456756 is about 44367.2937646641. The cubic root of 1968456756 is about 1253.2622533692.

The spelling of 1968456756 in words is "one billion, nine hundred sixty-eight million, four hundred fifty-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 23434009 46868018 70302027 93736036 140604054 164038063 281208108 328076126 492114189 656152252 984228378 1968456756