[go: up one dir, main page]

Search a number
-
+
4668120 = 2332512967
BaseRepresentation
bin10001110011101011011000
322210011110100
4101303223120
52143334440
6244015400
754451452
oct21635330
98704410
104668120
1126a9256
121691560
13c75a02
148972d2
15623230
hex473ad8

4668120 has 48 divisors (see below), whose sum is σ = 15172560. Its totient is φ = 1244736.

The previous prime is 4668113. The next prime is 4668121. The reversal of 4668120 is 218664.

4668120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4668121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6124 + ... + 6843.

It is an arithmetic number, because the mean of its divisors is an integer number (316095).

Almost surely, 24668120 is an apocalyptic number.

4668120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4668120 is an abundant number, since it is smaller than the sum of its proper divisors (10504440).

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

4668120 is a wasteful number, since it uses less digits than its factorization.

4668120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12984 (or 12977 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4668120 is about 2160.5832545866. The cubic root of 4668120 is about 167.1272769673.

The spelling of 4668120 in words is "four million, six hundred sixty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 12967 25934 38901 51868 64835 77802 103736 116703 129670 155604 194505 233406 259340 311208 389010 466812 518680 583515 778020 933624 1167030 1556040 2334060 4668120