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1284080 = 24572293
BaseRepresentation
bin100111001011111110000
32102020102112
410321133300
5312042310
643304452
713625450
oct4713760
92366375
101284080
117a7826
1251b128
1335c615
14255d60
151a5705
hex1397f0

1284080 has 40 divisors (see below), whose sum is σ = 3413472. Its totient is φ = 440064.

The previous prime is 1284053. The next prime is 1284083. The reversal of 1284080 is 804821.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×12840802 = 3297722892800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 587 + ... + 1706.

21284080 is an apocalyptic number.

1284080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1284080 is an abundant number, since it is smaller than the sum of its proper divisors (2129392).

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

1284080 is a wasteful number, since it uses less digits than its factorization.

1284080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 1284080 is about 1133.1725376129. The cubic root of 1284080 is about 108.6919450562.

The spelling of 1284080 in words is "one million, two hundred eighty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2293 4586 9172 11465 16051 18344 22930 32102 36688 45860 64204 80255 91720 128408 160510 183440 256816 321020 642040 1284080