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8116002 = 2321921249
BaseRepresentation
bin11110111101011100100010
3120021100001200
4132331130202
54034203002
6445542030
7125661546
oct36753442
916240050
108116002
114643744
122874916
1318b218b
141113a26
15aa4b1c
hex7bd722

8116002 has 36 divisors (see below), whose sum is σ = 18573750. Its totient is φ = 2560896.

The previous prime is 8116001. The next prime is 8116013. The reversal of 8116002 is 2006118.

It can be written as a sum of positive squares in only one way, i.e., 7177041 + 938961 = 2679^2 + 969^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (8116001) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5874 + ... + 7122.

Almost surely, 28116002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8116002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9286875).

8116002 is an abundant number, since it is smaller than the sum of its proper divisors (10457748).

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

8116002 is a wasteful number, since it uses less digits than its factorization.

8116002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 8116002 is about 2848.8597719088. The cubic root of 8116002 is about 200.9620482293.

The spelling of 8116002 in words is "eight million, one hundred sixteen thousand, two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 1249 2166 2498 3249 3747 6498 7494 11241 22482 23731 47462 71193 142386 213579 427158 450889 901778 1352667 2705334 4058001 8116002