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103794048 = 27354771
BaseRepresentation
bin1100010111111…
…00010110000000
321020022021200000
412023330112000
5203032402143
614144400000
72400143361
oct613742600
9236267600
10103794048
1153653006
122a916000
13186716c7
14dadbb68
1591a3bd3
hex62fc580

103794048 has 192 divisors, whose sum is σ = 320785920. Its totient is φ = 33384960.

The previous prime is 103794043. The next prime is 103794059. The reversal of 103794048 is 840497301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103794043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1461853 + ... + 1461923.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2103794048 is an apocalyptic number.

103794048 is a gapful number since it is divisible by the number (18) 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 103794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

103794048 is an abundant number, since it is smaller than the sum of its proper divisors (216991872).

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

103794048 is an frugal number, since it uses more digits than its factorization.

103794048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 103794048 is about 10187.9363955612. The cubic root of 103794048 is about 469.9563079952.

The spelling of 103794048 in words is "one hundred three million, seven hundred ninety-four thousand, forty-eight".