Search a number
-
+
30042176 = 26411072
BaseRepresentation
bin111001010011…
…0100001000000
32002112022010012
41302212201000
530142322201
62551524052
7513232343
oct162464100
962468105
1030042176
1115a5a14a
12a089628
1362bb248
143dc045a
1529865bb
hex1ca6840

30042176 has 42 divisors (see below), whose sum is σ = 61645038. Its totient is φ = 14517760.

The previous prime is 30042157. The next prime is 30042191. The reversal of 30042176 is 67124003.

It can be written as a sum of positive squares in only one way, i.e., 18318400 + 11723776 = 4280^2 + 3424^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 280715 + ... + 280821.

It is an arithmetic number, because the mean of its divisors is an integer number (1467739).

Almost surely, 230042176 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 30042176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30822519).

30042176 is an abundant number, since it is smaller than the sum of its proper divisors (31602862).

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

30042176 is an equidigital number, since it uses as much as digits as its factorization.

30042176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 30042176 is about 5481.0743472425. The cubic root of 30042176 is about 310.8687942319.

Adding to 30042176 its reverse (67124003), we get a palindrome (97166179).

The spelling of 30042176 in words is "thirty million, forty-two thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 64 82 107 164 214 328 428 656 856 1312 1712 2624 3424 4387 6848 8774 11449 17548 22898 35096 45796 70192 91592 140384 183184 280768 366368 469409 732736 938818 1877636 3755272 7510544 15021088 30042176