Search a number
-
+
1969423872 = 293131929179
BaseRepresentation
bin111010101100011…
…0000011000000000
312002020211002122220
41311120300120000
513013133030442
6523231331040
766542553363
oct16530603000
95066732586
101969423872
11920763339
1246b680a80
13255030090
141497ba0da
15b7d72eec
hex75630600

1969423872 has 320 divisors, whose sum is σ = 6187104000. Its totient is φ = 551190528.

The previous prime is 1969423861. The next prime is 1969423927. The reversal of 1969423872 is 2783249691.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11002279 + ... + 11002457.

It is an arithmetic number, because the mean of its divisors is an integer number (19334700).

Almost surely, 21969423872 is an apocalyptic number.

1969423872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1969423872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093552000).

1969423872 is an abundant number, since it is smaller than the sum of its proper divisors (4217680128).

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

1969423872 is a wasteful number, since it uses less digits than its factorization.

1969423872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 1969423872 is about 44378.1914007320. The cubic root of 1969423872 is about 1253.4674651477.

The spelling of 1969423872 in words is "one billion, nine hundred sixty-nine million, four hundred twenty-three thousand, eight hundred seventy-two".