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103467780 = 2234513173
BaseRepresentation
bin1100010101011…
…00101100000100
321012200201010000
412022230230010
5202441432110
614133401300
72364314223
oct612545404
9235621100
10103467780
115344a969
122a799230
1318589050
14da54cba
15913c1c0
hex62acb04

103467780 has 240 divisors, whose sum is σ = 371392560. Its totient is φ = 23970816.

The previous prime is 103467719. The next prime is 103467781. The reversal of 103467780 is 87764301.

It can be written as a sum of positive squares in 8 ways, for example, as 4743684 + 98724096 = 2178^2 + 9936^2 .

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 663 × 255 × 612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103467781) 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 79 ways as a sum of consecutive naturals, for example, 6086332 + ... + 6086348.

It is an arithmetic number, because the mean of its divisors is an integer number (1547469).

Almost surely, 2103467780 is an apocalyptic number.

103467780 is a gapful number since it is divisible by the number (10) 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 103467780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185696280).

103467780 is an abundant number, since it is smaller than the sum of its proper divisors (267924780).

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

103467780 is a wasteful number, since it uses less digits than its factorization.

103467780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 103467780 is about 10171.9113248199. The cubic root of 103467780 is about 469.4633682083.

The spelling of 103467780 in words is "one hundred three million, four hundred sixty-seven thousand, seven hundred eighty".