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4395680 = 25583331
BaseRepresentation
bin10000110001001010100000
322021022201222
4100301022200
52111130210
6234114212
752235252
oct20611240
98238658
104395680
1125325a3
12157b968
13bab9c3
14825cd2
155bc655
hex4312a0

4395680 has 48 divisors (see below), whose sum is σ = 10541664. Its totient is φ = 1731840.

The previous prime is 4395659. The next prime is 4395689. The reversal of 4395680 is 865934.

It is a self number, because there is not a number n which added to its sum of digits gives 4395680.

It is not an unprimeable number, because it can be changed into a prime (4395689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13115 + ... + 13445.

It is an arithmetic number, because the mean of its divisors is an integer number (219618).

Almost surely, 24395680 is an apocalyptic number.

4395680 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 4395680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270832).

4395680 is an abundant number, since it is smaller than the sum of its proper divisors (6145984).

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

4395680 is a wasteful number, since it uses less digits than its factorization.

4395680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 4395680 is about 2096.5877038655. The cubic root of 4395680 is about 163.8106082581.

The spelling of 4395680 in words is "four million, three hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 331 332 415 662 664 830 1324 1328 1655 1660 2648 2656 3310 3320 5296 6620 6640 10592 13240 13280 26480 27473 52960 54946 109892 137365 219784 274730 439568 549460 879136 1098920 2197840 4395680