Search a number
-
+
996809280 = 263517103593
BaseRepresentation
bin111011011010100…
…001101001000000
32120110200011021020
4323122201221000
54020140344110
6242525025440
733462511335
oct7332415100
92513604236
10996809280
11471744625
122399b5280
1312b690a9c
149655a98c
155c7a0d70
hex3b6a1a40

996809280 has 224 divisors, whose sum is σ = 3389278464. Its totient is φ = 247332864.

The previous prime is 996809269. The next prime is 996809311. The reversal of 996809280 is 82908699.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1680664 + ... + 1681256.

Almost surely, 2996809280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694639232).

996809280 is an abundant number, since it is smaller than the sum of its proper divisors (2392469184).

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

996809280 is a wasteful number, since it uses less digits than its factorization.

996809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 996809280 is about 31572.2865817476. The cubic root of 996809280 is about 998.9352934690.

The spelling of 996809280 in words is "nine hundred ninety-six million, eight hundred nine thousand, two hundred eighty".