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8020012 = 22711132003
BaseRepresentation
bin11110100110000000101100
3120002110101111
4132212000230
54023120022
6443521404
7125111650
oct36460054
916073344
108020012
114588610
122829264
13187a590
1410caa60
15a86477
hex7a602c

8020012 has 48 divisors (see below), whose sum is σ = 18853632. Its totient is φ = 2882880.

The previous prime is 8020007. The next prime is 8020027. The reversal of 8020012 is 2100208.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 8019974 and 8020001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3003 + ... + 5005.

It is an arithmetic number, because the mean of its divisors is an integer number (392784).

Almost surely, 28020012 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 8020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9426816).

8020012 is an abundant number, since it is smaller than the sum of its proper divisors (10833620).

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

8020012 is a wasteful number, since it uses less digits than its factorization.

8020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 8020012 is about 2831.9625703741. The cubic root of 8020012 is about 200.1666278040.

The spelling of 8020012 in words is "eight million, twenty thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 2003 4004 4006 8012 14021 22033 26039 28042 44066 52078 56084 88132 104156 154231 182273 286429 308462 364546 572858 616924 729092 1145716 2005003 4010006 8020012