Search a number
-
+
994118400 = 28335211523
BaseRepresentation
bin111011010000010…
…000101100000000
32120021121110002000
4323100100230000
54013443242100
6242351224000
733430603242
oct7320205400
92507543060
10994118400
11470176960
12238b18000
1312ac5b052
149605a092
155c41d900
hex3b410b00

994118400 has 432 divisors, whose sum is σ = 3984328320. Its totient is φ = 240537600.

The previous prime is 994118387. The next prime is 994118407. The reversal of 994118400 is 4811499.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (994118407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900539 + ... + 1901061.

Almost surely, 2994118400 is an apocalyptic number.

994118400 is a gapful number since it is divisible by the number (90) 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 994118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992164160).

994118400 is an abundant number, since it is smaller than the sum of its proper divisors (2990209920).

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

994118400 is a wasteful number, since it uses less digits than its factorization.

994118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 994118400 is about 31529.6431949364. The cubic root of 994118400 is about 998.0356103668.

Adding to 994118400 its reverse (4811499), we get a palindrome (998929899).

The spelling of 994118400 in words is "nine hundred ninety-four million, one hundred eighteen thousand, four hundred".