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8013016 = 23112337107
BaseRepresentation
bin11110100100010011011000
3120002002210101
4132210103120
54022404031
6443425144
7125052364
oct36442330
916062711
108013016
114583330
1228251b4
13187733b
1410c82a4
15a84361
hex7a44d8

8013016 has 64 divisors (see below), whose sum is σ = 17729280. Its totient is φ = 3358080.

The previous prime is 8013013. The next prime is 8013029. The reversal of 8013016 is 6103108.

It is a junction number, because it is equal to n+sod(n) for n = 8012984 and 8013002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8013013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74835 + ... + 74941.

It is an arithmetic number, because the mean of its divisors is an integer number (277020).

Almost surely, 28013016 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 8013016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8864640).

8013016 is an abundant number, since it is smaller than the sum of its proper divisors (9716264).

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

8013016 is a wasteful number, since it uses less digits than its factorization.

8013016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 8013016 is about 2830.7271150713. The cubic root of 8013016 is about 200.1084078947.

The spelling of 8013016 in words is "eight million, thirteen thousand, sixteen".

Divisors: 1 2 4 8 11 22 23 37 44 46 74 88 92 107 148 184 214 253 296 407 428 506 814 851 856 1012 1177 1628 1702 2024 2354 2461 3256 3404 3959 4708 4922 6808 7918 9361 9416 9844 15836 18722 19688 27071 31672 37444 43549 54142 74888 87098 91057 108284 174196 182114 216568 348392 364228 728456 1001627 2003254 4006508 8013016