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4605940 = 225412137
BaseRepresentation
bin10001100100011111110100
322200000011101
4101210133310
52134342230
6242415444
754102253
oct21443764
98600141
104605940
112666569
121661584
13c53611
1487c79a
1560eaca
hex4647f4

4605940 has 36 divisors (see below), whose sum is σ = 9986508. Its totient is φ = 1784320.

The previous prime is 4605917. The next prime is 4605947. The reversal of 4605940 is 495064.

It can be written as a sum of positive squares in 6 ways, for example, as 1430416 + 3175524 = 1196^2 + 1782^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4605899 and 4605908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4605947) 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, 33552 + ... + 33688.

It is an arithmetic number, because the mean of its divisors is an integer number (277403).

Almost surely, 24605940 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 4605940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993254).

4605940 is an abundant number, since it is smaller than the sum of its proper divisors (5380568).

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

4605940 is a wasteful number, since it uses less digits than its factorization.

4605940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 4605940 is about 2146.1453818416. The cubic root of 4605940 is about 166.3819048525.

It can be divided in two parts, 460 and 5940, that added together give a square (6400 = 802).

The spelling of 4605940 in words is "four million, six hundred five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 82 137 164 205 274 410 548 685 820 1370 1681 2740 3362 5617 6724 8405 11234 16810 22468 28085 33620 56170 112340 230297 460594 921188 1151485 2302970 4605940