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4706080 = 25567439
BaseRepresentation
bin10001111100111100100000
322212002112021
4101330330200
52201043310
6244511224
755000231
oct21747440
98762467
104706080
112724825
1216ab514
13c8a082
148a7088
1562e5da
hex47cf20

4706080 has 48 divisors (see below), whose sum is σ = 11309760. Its totient is φ = 1850112.

The previous prime is 4706077. The next prime is 4706081. The reversal of 4706080 is 806074.

It is not an unprimeable number, because it can be changed into a prime (4706081) 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 7 ways as a sum of consecutive naturals, for example, 10501 + ... + 10939.

It is an arithmetic number, because the mean of its divisors is an integer number (235620).

Almost surely, 24706080 is an apocalyptic number.

4706080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4706080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654880).

4706080 is an abundant number, since it is smaller than the sum of its proper divisors (6603680).

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

4706080 is a wasteful number, since it uses less digits than its factorization.

4706080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 4706080 is about 2169.3501331044. The cubic root of 4706080 is about 167.5790671487.

The spelling of 4706080 in words is "four million, seven hundred six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 439 536 670 878 1072 1340 1756 2144 2195 2680 3512 4390 5360 7024 8780 10720 14048 17560 29413 35120 58826 70240 117652 147065 235304 294130 470608 588260 941216 1176520 2353040 4706080