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103776080 = 2451297201
BaseRepresentation
bin1100010111101…
…11111101010000
321020021101000112
412023313331100
5203031313310
614144140452
72400040112
oct613677520
9236241015
10103776080
1153640561
122a907728
1318666485
14dad53b2
15919d705
hex62f7f50

103776080 has 20 divisors (see below), whose sum is σ = 241279572. Its totient is φ = 41510400.

The previous prime is 103776077. The next prime is 103776091. The reversal of 103776080 is 80677301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 59845696 + 43930384 = 7736^2 + 6628^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 648521 + ... + 648680.

Almost surely, 2103776080 is an apocalyptic number.

103776080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103776080 is an abundant number, since it is smaller than the sum of its proper divisors (137503492).

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

103776080 is a wasteful number, since it uses less digits than its factorization.

103776080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297214 (or 1297208 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 103776080 is about 10187.0545301377. The cubic root of 103776080 is about 469.9291880642.

The spelling of 103776080 in words is "one hundred three million, seven hundred seventy-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1297201 2594402 5188804 6486005 10377608 12972010 20755216 25944020 51888040 103776080