Search a number
-
+
1994872320 = 29335721931
BaseRepresentation
bin111011011100111…
…0101011000000000
312011000201000101000
41312321311120000
513041141403240
6525541012000
7100302064200
oct16671653000
95130630330
101994872320
11934065111
124780b4000
1325a3a042c
1414cd22400
15ba1ed430
hex76e75600

1994872320 has 960 divisors, whose sum is σ = 8956569600. Its totient is φ = 418037760.

The previous prime is 1994872307. The next prime is 1994872331. The reversal of 1994872320 is 232784991.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64350705 + ... + 64350735.

It is an arithmetic number, because the mean of its divisors is an integer number (9329760).

Almost surely, 21994872320 is an apocalyptic number.

1994872320 is a gapful number since it is divisible by the number (10) 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 1994872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478284800).

1994872320 is an abundant number, since it is smaller than the sum of its proper divisors (6961697280).

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

1994872320 is a wasteful number, since it uses less digits than its factorization.

1994872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1994872320 is about 44663.9935518534. The cubic root of 1994872320 is about 1258.8433830528.

The spelling of 1994872320 in words is "one billion, nine hundred ninety-four million, eight hundred seventy-two thousand, three hundred twenty".