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30832128 = 29326691
BaseRepresentation
bin111010110011…
…1011000000000
32011000102201200
41311213120000
530343112003
63020501200
7523032405
oct165473000
964012650
1030832128
11164496a8
12a3aa800
136506982
1441482ac
152a906a3
hex1d67600

30832128 has 60 divisors (see below), whose sum is σ = 88996908. Its totient is φ = 10275840.

The previous prime is 30832111. The next prime is 30832147. The reversal of 30832128 is 82123803.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1263 + ... + 7953.

Almost surely, 230832128 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 30832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44498454).

30832128 is an abundant number, since it is smaller than the sum of its proper divisors (58164780).

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

30832128 is an equidigital number, since it uses as much as digits as its factorization.

30832128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 30832128 is about 5552.6685476445. The cubic root of 30832128 is about 313.5699957411.

The spelling of 30832128 in words is "thirty million, eight hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 6691 13382 20073 26764 40146 53528 60219 80292 107056 120438 160584 214112 240876 321168 428224 481752 642336 856448 963504 1284672 1712896 1927008 2569344 3425792 3854016 5138688 7708032 10277376 15416064 30832128