Search a number
-
+
30206240 = 255712659
BaseRepresentation
bin111001100111…
…0100100100000
32002211122011122
41303032210200
530213044430
62555231412
7514514561
oct163164440
962748148
1030206240
1116061439
12a148568
136347b1c
144024168
1529b9ee5
hex1cce920

30206240 has 48 divisors (see below), whose sum is σ = 72394560. Its totient is φ = 11907840.

The previous prime is 30206233. The next prime is 30206243. The reversal of 30206240 is 4260203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30206243) 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 7 ways as a sum of consecutive naturals, for example, 10031 + ... + 12689.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 230206240 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 30206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36197280).

30206240 is an abundant number, since it is smaller than the sum of its proper divisors (42188320).

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

30206240 is a wasteful number, since it uses less digits than its factorization.

30206240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 30206240 is about 5496.0203784193. The cubic root of 30206240 is about 311.4336647116.

Adding to 30206240 its reverse (4260203), we get a palindrome (34466443).

The spelling of 30206240 in words is "thirty million, two hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2659 2840 5318 5680 10636 11360 13295 21272 26590 42544 53180 85088 106360 188789 212720 377578 425440 755156 943945 1510312 1887890 3020624 3775780 6041248 7551560 15103120 30206240