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1266480 = 243251759
BaseRepresentation
bin100110101001100110000
32101100021200
410311030300
5311011410
643051200
713523235
oct4651460
92340250
101266480
11795586
12510b00
133545c7
1424d78c
151a03c0
hex135330

1266480 has 60 divisors (see below), whose sum is σ = 4255680. Its totient is φ = 337536.

The previous prime is 1266469. The next prime is 1266487. The reversal of 1266480 is 846621.

1266480 is a `hidden beast` number, since 12 + 6 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (1266487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160 + ... + 1599.

It is an arithmetic number, because the mean of its divisors is an integer number (70928).

21266480 is an apocalyptic number.

1266480 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 1266480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127840).

1266480 is an abundant number, since it is smaller than the sum of its proper divisors (2989200).

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

1266480 is a wasteful number, since it uses less digits than its factorization.

1266480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1266480 is about 1125.3799358439. The cubic root of 1266480 is about 108.1930702828.

The spelling of 1266480 in words is "one million, two hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1759 3518 5277 7036 8795 10554 14072 15831 17590 21108 26385 28144 31662 35180 42216 52770 63324 70360 79155 84432 105540 126648 140720 158310 211080 253296 316620 422160 633240 1266480