Search a number
-
+
1994409600 = 273521032017
BaseRepresentation
bin111011011100000…
…0100011010000000
312010222211111122020
41312320010122000
513041032101400
6525523041440
7100265126151
oct16670043200
95128744566
101994409600
119338794a7
12477b10280
1325a26a931
1414cc41928
15ba15b2a0
hex76e04680

1994409600 has 192 divisors, whose sum is σ = 6636152640. Its totient is φ = 526417920.

The previous prime is 1994409577. The next prime is 1994409601. The reversal of 1994409600 is 69044991.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1994409601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987792 + ... + 989808.

It is an arithmetic number, because the mean of its divisors is an integer number (34563295).

Almost surely, 21994409600 is an apocalyptic number.

1994409600 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 1994409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318076320).

1994409600 is an abundant number, since it is smaller than the sum of its proper divisors (4641743040).

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

1994409600 is a wasteful number, since it uses less digits than its factorization.

1994409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 1994409600 is about 44658.8132399418. The cubic root of 1994409600 is about 1258.7460439822.

The spelling of 1994409600 in words is "one billion, nine hundred ninety-four million, four hundred nine thousand, six hundred".