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4485680 = 245471193
BaseRepresentation
bin10001000111001000110000
322102220012022
4101013020300
52122020210
6240051012
753061533
oct21071060
98386168
104485680
112594181
121603a68
13c10964
1484aa1a
155d9155
hex447230

4485680 has 40 divisors (see below), whose sum is σ = 10660032. Its totient is φ = 1754624.

The previous prime is 4485661. The next prime is 4485683. The reversal of 4485680 is 865844.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 4485680.

It is not an unprimeable number, because it can be changed into a prime (4485683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3164 + ... + 4356.

Almost surely, 24485680 is an apocalyptic number.

4485680 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 4485680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330016).

4485680 is an abundant number, since it is smaller than the sum of its proper divisors (6174352).

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

4485680 is a wasteful number, since it uses less digits than its factorization.

4485680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 4485680 is about 2117.9423977058. The cubic root of 4485680 is about 164.9210519162.

The spelling of 4485680 in words is "four million, four hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1193 1880 2386 3760 4772 5965 9544 11930 19088 23860 47720 56071 95440 112142 224284 280355 448568 560710 897136 1121420 2242840 4485680