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4681220 = 2251997127
BaseRepresentation
bin10001110110111000000100
322210211102112
4101312320010
52144244340
6244200152
754534605
oct21667004
98724375
104681220
112708085
121699058
13c7b96b
1489bdac
15627065
hex476e04

4681220 has 48 divisors (see below), whose sum is σ = 10536960. Its totient is φ = 1741824.

The previous prime is 4681211. The next prime is 4681241. The reversal of 4681220 is 221864.

4681220 = T19 + T20 + ... + T303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36797 + ... + 36923.

It is an arithmetic number, because the mean of its divisors is an integer number (219520).

Almost surely, 24681220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4681220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268480).

4681220 is an abundant number, since it is smaller than the sum of its proper divisors (5855740).

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

4681220 is a wasteful number, since it uses less digits than its factorization.

4681220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4681220 is about 2163.6127195041. The cubic root of 4681220 is about 167.2834656493.

The spelling of 4681220 in words is "four million, six hundred eighty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 97 127 190 194 254 380 388 485 508 635 970 1270 1843 1940 2413 2540 3686 4826 7372 9215 9652 12065 12319 18430 24130 24638 36860 48260 49276 61595 123190 234061 246380 468122 936244 1170305 2340610 4681220