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4202660 = 2257112729
BaseRepresentation
bin10000000010000010100100
321220111222002
4100002002210
52033441120
6230024432
750502440
oct20020244
97814862
104202660
112410580
1214a8118
13b41ba7
147b5820
15580375
hex4020a4

4202660 has 48 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 1309440.

The previous prime is 4202657. The next prime is 4202663. The reversal of 4202660 is 662024.

4202660 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4202657) and next prime (4202663).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 411 + 25 + 0 + 29 + 62 + 65 + 0 .

It is not an unprimeable number, because it can be changed into a prime (4202663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176 + ... + 2904.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 24202660 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 4202660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

4202660 is an abundant number, since it is smaller than the sum of its proper divisors (6804700).

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

4202660 is a wasteful number, since it uses less digits than its factorization.

4202660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4202660 is about 2050.0390240188. The cubic root of 4202660 is about 161.3769186857.

Adding to 4202660 its reverse (662024), we get a palindrome (4864684).

The spelling of 4202660 in words is "four million, two hundred two 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 2729 5458 10916 13645 19103 27290 30019 38206 54580 60038 76412 95515 120076 150095 191030 210133 300190 382060 420266 600380 840532 1050665 2101330 4202660