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8020960 = 25550131
BaseRepresentation
bin11110100110001111100000
3120002111200121
4132212033200
54023132320
6443530024
7125114503
oct36461740
916074617
108020960
1145892a2
122829914
13187ab3c
1410cb13a
15a868aa
hex7a63e0

8020960 has 24 divisors (see below), whose sum is σ = 18949896. Its totient is φ = 3208320.

The previous prime is 8020933. The next prime is 8020963. The reversal of 8020960 is 690208.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8020963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24906 + ... + 25225.

It is an arithmetic number, because the mean of its divisors is an integer number (789579).

Almost surely, 28020960 is an apocalyptic number.

8020960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8020960 is an abundant number, since it is smaller than the sum of its proper divisors (10928936).

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

8020960 is a wasteful number, since it uses less digits than its factorization.

8020960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50146 (or 50138 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 8020960 is about 2832.1299405218. The cubic root of 8020960 is about 200.1745143461.

The spelling of 8020960 in words is "eight million, twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 50131 100262 200524 250655 401048 501310 802096 1002620 1604192 2005240 4010480 8020960