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1416080 = 24531571
BaseRepresentation
bin101011001101110010000
32122221111102
411121232100
5330303310
650203532
715015341
oct5315620
92587442
101416080
11887a16
125835a8
133a7723
1428c0c8
151ce8a5
hex159b90

1416080 has 40 divisors (see below), whose sum is σ = 3404544. Its totient is φ = 547200.

The previous prime is 1416073. The next prime is 1416097. The reversal of 1416080 is 806141.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2195 + ... + 2765.

21416080 is an apocalyptic number.

1416080 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 1416080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702272).

1416080 is an abundant number, since it is smaller than the sum of its proper divisors (1988464).

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

1416080 is a wasteful number, since it uses less digits than its factorization.

1416080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1416080 is about 1189.9915966090. The cubic root of 1416080 is about 112.2955628744.

Adding to 1416080 its sum of digits (20), we get a square (1416100 = 11902).

The spelling of 1416080 in words is "one million, four hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 571 620 1142 1240 2284 2480 2855 4568 5710 9136 11420 17701 22840 35402 45680 70804 88505 141608 177010 283216 354020 708040 1416080