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103988928 = 2631134793
BaseRepresentation
bin1100011001010…
…11111011000000
321020200011222210
412030223323000
5203110121203
614152502120
72401614501
oct614537300
9236604883
10103988928
115377646a
122a9aa940
131870c314
14db4cba8
1591e1803
hex632bec0

103988928 has 56 divisors (see below), whose sum is σ = 277630128. Its totient is φ = 34349056.

The previous prime is 103988897. The next prime is 103988953. The reversal of 103988928 is 829889301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 19300 + ... + 24092.

Almost surely, 2103988928 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 103988928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138815064).

103988928 is an abundant number, since it is smaller than the sum of its proper divisors (173641200).

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

103988928 is a wasteful number, since it uses less digits than its factorization.

103988928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4921 (or 4911 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 103988928 is about 10197.4961632746. The cubic root of 103988928 is about 470.2502485047.

The spelling of 103988928 in words is "one hundred three million, nine hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2712 3616 4793 5424 7232 9586 10848 14379 19172 21696 28758 38344 57516 76688 115032 153376 230064 306752 460128 541609 920256 1083218 1624827 2166436 3249654 4332872 6499308 8665744 12998616 17331488 25997232 34662976 51994464 103988928