Search a number
-
+
4881680 = 245139439
BaseRepresentation
bin10010100111110100010000
3100012000101222
4102213310100
52222203210
6252344212
756331206
oct22476420
910160358
104881680
112834751
121775068
13101bc8b
14911076
15666655
hex4a7d10

4881680 has 40 divisors (see below), whose sum is σ = 11457600. Its totient is φ = 1934208.

The previous prime is 4881677. The next prime is 4881683. The reversal of 4881680 is 861884.

It is an interprime number because it is at equal distance from previous prime (4881677) and next prime (4881683).

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

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 4881680.

It is not an unprimeable number, because it can be changed into a prime (4881683) 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, 10901 + ... + 11339.

It is an arithmetic number, because the mean of its divisors is an integer number (286440).

Almost surely, 24881680 is an apocalyptic number.

4881680 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 4881680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728800).

4881680 is an abundant number, since it is smaller than the sum of its proper divisors (6575920).

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

4881680 is a wasteful number, since it uses less digits than its factorization.

4881680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 4881680 is about 2209.4524208500. The cubic root of 4881680 is about 169.6379839571.

It can be divided in two parts, 488 and 1680, that multiplied together give a triangular number (819840 = T1280).

The spelling of 4881680 in words is "four million, eight hundred eighty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 439 556 695 878 1112 1390 1756 2195 2224 2780 3512 4390 5560 7024 8780 11120 17560 35120 61021 122042 244084 305105 488168 610210 976336 1220420 2440840 4881680