Search a number
-
+
30141632 = 261014663
BaseRepresentation
bin111001011111…
…0110011000000
32002201100112202
41302332303000
530204013012
62554012332
7514125323
oct162766300
962640482
1030141632
1116017944
12a1170a8
1363245b1
1440087ba
1529a5cc2
hex1cbecc0

30141632 has 28 divisors (see below), whose sum is σ = 60417456. Its totient is φ = 14918400.

The previous prime is 30141607. The next prime is 30141647. The reversal of 30141632 is 23614103.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4133 + ... + 8795.

Almost surely, 230141632 is an apocalyptic number.

30141632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30208728).

30141632 is an abundant number, since it is smaller than the sum of its proper divisors (30275824).

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

30141632 is a wasteful number, since it uses less digits than its factorization.

30141632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776 (or 4766 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 30141632 is about 5490.1395246387. The cubic root of 30141632 is about 311.2114648292.

Adding to 30141632 its reverse (23614103), we get a palindrome (53755735).

The spelling of 30141632 in words is "thirty million, one hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 3232 4663 6464 9326 18652 37304 74608 149216 298432 470963 941926 1883852 3767704 7535408 15070816 30141632