Search a number
-
+
996947136 = 26336779109
BaseRepresentation
bin111011011011000…
…011010011000000
32120110221011101000
4323123003103000
54020204302021
6242532012000
733463624263
oct7333032300
92513834330
10996947136
11471829159
12239a61000
1312b70b763
1496594cda
155c7cbb26
hex3b6c34c0

996947136 has 224 divisors, whose sum is σ = 3039872000. Its totient is φ = 320246784.

The previous prime is 996947111. The next prime is 996947137. The reversal of 996947136 is 631749699.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (996947137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9146250 + ... + 9146358.

Almost surely, 2996947136 is an apocalyptic number.

996947136 is a gapful number since it is divisible by the number (96) 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 996947136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519936000).

996947136 is an abundant number, since it is smaller than the sum of its proper divisors (2042924864).

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

996947136 is a wasteful number, since it uses less digits than its factorization.

996947136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 260 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 996947136 is about 31574.4696867580. The cubic root of 996947136 is about 998.9813413536.

The spelling of 996947136 in words is "nine hundred ninety-six million, nine hundred forty-seven thousand, one hundred thirty-six".