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103998432 = 2531083317
BaseRepresentation
bin1100011001011…
…10001111100000
321020200200000210
412030232033200
5203110422212
614153014120
72401654266
oct614561740
9236620023
10103998432
115378261a
122a9b4340
1318713745
14db52436
1591e453c
hex632e3e0

103998432 has 24 divisors (see below), whose sum is σ = 272996136. Its totient is φ = 34666112.

The previous prime is 103998421. The next prime is 103998439. The reversal of 103998432 is 234899301.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103998439) by changing a digit.

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, 541563 + ... + 541754.

It is an arithmetic number, because the mean of its divisors is an integer number (11374839).

Almost surely, 2103998432 is an apocalyptic number.

103998432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103998432 is an abundant number, since it is smaller than the sum of its proper divisors (168997704).

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

103998432 is a wasteful number, since it uses less digits than its factorization.

103998432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083330 (or 1083322 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 103998432 is about 10197.9621493708. The cubic root of 103998432 is about 470.2645741395.

The spelling of 103998432 in words is "one hundred three million, nine hundred ninety-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1083317 2166634 3249951 4333268 6499902 8666536 12999804 17333072 25999608 34666144 51999216 103998432