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8023014 = 23217157167
BaseRepresentation
bin11110100110101111100110
3120002121111200
4132212233212
54023214024
6443543330
7125123466
oct36465746
916077450
108023014
11458a89a
12282ab46
13187ba5c
1410cbba6
15a872c9
hex7a6be6

8023014 has 48 divisors (see below), whose sum is σ = 18633888. Its totient is φ = 2486016.

The previous prime is 8023013. The next prime is 8023019. The reversal of 8023014 is 4103208.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8023013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47959 + ... + 48125.

It is an arithmetic number, because the mean of its divisors is an integer number (388206).

Almost surely, 28023014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8023014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9316944).

8023014 is an abundant number, since it is smaller than the sum of its proper divisors (10610874).

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

8023014 is a wasteful number, since it uses less digits than its factorization.

8023014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8023014 is about 2832.4925419143. The cubic root of 8023014 is about 200.1915997225.

The spelling of 8023014 in words is "eight million, twenty-three thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 157 167 306 314 334 471 501 942 1002 1413 1503 2669 2826 2839 3006 5338 5678 8007 8517 16014 17034 24021 25551 26219 48042 51102 52438 78657 157314 235971 445723 471942 891446 1337169 2674338 4011507 8023014