Search a number
-
+
5735220 = 2235611567
BaseRepresentation
bin10101111000001100110100
3101210101020120
4111320030310
52432011340
6322531540
766514521
oct25701464
911711216
105735220
113267a57
121b06bb0
13125a62a
14a94148
157844d0
hex578334

5735220 has 48 divisors (see below), whose sum is σ = 16332288. Its totient is φ = 1503360.

The previous prime is 5735201. The next prime is 5735221. The reversal of 5735220 is 225375.

5735220 is digitally balanced in base 5, 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 (5735221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2877 + ... + 4443.

It is an arithmetic number, because the mean of its divisors is an integer number (340256).

Almost surely, 25735220 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 5735220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8166144).

5735220 is an abundant number, since it is smaller than the sum of its proper divisors (10597068).

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

5735220 is a wasteful number, since it uses less digits than its factorization.

5735220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 5735220 is about 2394.8319356481. The cubic root of 5735220 is about 178.9987619943.

The spelling of 5735220 in words is "five million, seven hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1567 1830 3134 3660 4701 6268 7835 9402 15670 18804 23505 31340 47010 94020 95587 191174 286761 382348 477935 573522 955870 1147044 1433805 1911740 2867610 5735220