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100304128 = 28467839
BaseRepresentation
bin1011111101010…
…00010100000000
320222201222101201
411332220110000
5201134213003
613541510544
72325366601
oct576502400
9228658351
10100304128
1151689a81
1229712454
1317a1c072
14d46dda8
158c14b1d
hex5fa8500

100304128 has 36 divisors (see below), whose sum is σ = 200884320. Its totient is φ = 49985024.

The previous prime is 100304123. The next prime is 100304129. The reversal of 100304128 is 821403001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100304123) 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 3 ways as a sum of consecutive naturals, for example, 119133 + ... + 119971.

It is an arithmetic number, because the mean of its divisors is an integer number (5580120).

Almost surely, 2100304128 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 100304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100442160).

100304128 is an abundant number, since it is smaller than the sum of its proper divisors (100580192).

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

100304128 is an frugal number, since it uses more digits than its factorization.

100304128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 100304128 is about 10015.1948558178. The cubic root of 100304128 is about 464.6289528548.

Adding to 100304128 its reverse (821403001), we get a palindrome (921707129).

The spelling of 100304128 in words is "one hundred million, three hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 467 839 934 1678 1868 3356 3736 6712 7472 13424 14944 26848 29888 53696 59776 107392 119552 214784 391813 783626 1567252 3134504 6269008 12538016 25076032 50152064 100304128