Search a number
-
+
9974016 = 28341337
BaseRepresentation
bin100110000011…
…000100000000
3200202201210000
4212003010000
510023132031
6553440000
7150530523
oct46030400
920681700
109974016
1156a2698
123410000
1320b2ab0
141478bba
15d203e6
hex983100

9974016 has 180 divisors, whose sum is σ = 32894092. Its totient is φ = 2985984.

The previous prime is 9973981. The next prime is 9974021. The reversal of 9974016 is 6104799.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 4665600 = 2304^2 + 2160^2 .

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 269550 + ... + 269586.

Almost surely, 29974016 is an apocalyptic number.

9974016 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 9974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16447046).

9974016 is an abundant number, since it is smaller than the sum of its proper divisors (22920076).

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

9974016 is a wasteful number, since it uses less digits than its factorization.

9974016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9974016 is about 3158.1665567224. The cubic root of 9974016 is about 215.2567043766.

The spelling of 9974016 in words is "nine million, nine hundred seventy-four thousand, sixteen".