Search a number
-
+
30206442 = 2372127809
BaseRepresentation
bin111001100111…
…0100111101010
32002211122110010
41303032213222
530213101232
62555232350
7514515300
oct163164752
962748403
1030206442
1116061602
12a1486b6
136347c46
144024270
1529ba0cc
hex1cce9ea

30206442 has 48 divisors (see below), whose sum is σ = 70917120. Its totient is φ = 8551872.

The previous prime is 30206441. The next prime is 30206461. The reversal of 30206442 is 24460203.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (30206441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36934 + ... + 37742.

It is an arithmetic number, because the mean of its divisors is an integer number (1477440).

Almost surely, 230206442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30206442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35458560).

30206442 is an abundant number, since it is smaller than the sum of its proper divisors (40710678).

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

30206442 is a wasteful number, since it uses less digits than its factorization.

30206442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 30206442 is about 5496.0387553219. The cubic root of 30206442 is about 311.4343589331.

Adding to 30206442 its reverse (24460203), we get a palindrome (54666645).

The spelling of 30206442 in words is "thirty million, two hundred six thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 127 147 254 294 381 762 809 889 1618 1778 2427 2667 4854 5334 5663 6223 11326 12446 16989 18669 33978 37338 39641 79282 102743 118923 205486 237846 308229 616458 719201 1438402 2157603 4315206 5034407 10068814 15103221 30206442