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4741660 = 2257113079
BaseRepresentation
bin10010000101101000011100
322220220100001
4102011220130
52203213120
6245344044
755206040
oct22055034
98826301
104741660
112749530
121708024
13ca0321
148b6020
15639e0a
hex485a1c

4741660 has 48 divisors (see below), whose sum is σ = 12418560. Its totient is φ = 1477440.

The previous prime is 4741643. The next prime is 4741673. The reversal of 4741660 is 661474.

4741660 is a nontrivial binomial coefficient, being equal to C(3080, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 1 + ... + 3079.

It is an arithmetic number, because the mean of its divisors is an integer number (258720).

Almost surely, 24741660 is an apocalyptic number.

4741660 is the 3079-th triangular number and also the 1540-th hexagonal number.

4741660 is the 1027-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4741660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209280).

4741660 is an abundant number, since it is smaller than the sum of its proper divisors (7676900).

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

4741660 is a wasteful number, since it uses less digits than its factorization.

4741660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4741660 is about 2177.5353039618. The cubic root of 4741660 is about 168.0003306872. Note that the first 3 decimals are identical.

Subtracting from 4741660 its sum of digits (28), we obtain a cube (4741632 = 1683).

The spelling of 4741660 in words is "four million, seven hundred forty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 3079 6158 12316 15395 21553 30790 33869 43106 61580 67738 86212 107765 135476 169345 215530 237083 338690 431060 474166 677380 948332 1185415 2370830 4741660