Search a number
-
+
994809600 = 28345219101
BaseRepresentation
bin111011010010111…
…001011100000000
32120022220120020000
4323102321130000
54014132401400
6242414120000
733436512351
oct7322713400
92508816200
10994809600
114705a91a4
122391b0000
1312b140845
1496199d28
155c508600
hex3b4b9700

994809600 has 540 divisors, whose sum is σ = 3910192440. Its totient is φ = 248832000.

The previous prime is 994809589. The next prime is 994809631. The reversal of 994809600 is 6908499.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×9948096002 = 1979292280504320000, which contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 9849550 + ... + 9849650.

Almost surely, 2994809600 is an apocalyptic number.

994809600 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 994809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955096220).

994809600 is an abundant number, since it is smaller than the sum of its proper divisors (2915382840).

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

994809600 is a wasteful number, since it uses less digits than its factorization.

994809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 994809600 is about 31540.6024038857. The cubic root of 994809600 is about 998.2668646438.

The spelling of 994809600 in words is "nine hundred ninety-four million, eight hundred nine thousand, six hundred".