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996030000 = 24335471731
BaseRepresentation
bin111011010111100…
…011011000110000
32120102012120022000
4323113203120300
54014440430000
6242500214000
733453054360
oct7327433060
92512176260
10996030000
11471262099
1223969a300
1312b47a184
14963d69a0
155c69a000
hex3b5e3630

996030000 has 800 divisors, whose sum is σ = 4462571520. Its totient is φ = 207360000.

The previous prime is 996029999. The next prime is 996030001. The reversal of 996030000 is 30699.

It is an interprime number because it is at equal distance from previous prime (996029999) and next prime (996030001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (996030001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32129985 + ... + 32130015.

Almost surely, 2996030000 is an apocalyptic number.

996030000 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 996030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231285760).

996030000 is an abundant number, since it is smaller than the sum of its proper divisors (3466541520).

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

996030000 is a wasteful number, since it uses less digits than its factorization.

996030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 996030000 is about 31559.9429657279. The cubic root of 996030000 is about 998.6749115829.

Adding to 996030000 its reverse (30699), we get a palindrome (996060699).

The spelling of 996030000 in words is "nine hundred ninety-six million, thirty thousand".