Search a number
-
+
1270080 = 2634572
BaseRepresentation
bin100110110000101000000
32101112020000
410312011000
5311120310
643120000
713536600
oct4660500
92345200
101270080
11798259
12513000
13356136
14250c00
151a14c0
hex136140

1270080 has 210 divisors, whose sum is σ = 5255514. Its totient is φ = 290304.

The previous prime is 1270079. The next prime is 1270097. The reversal of 1270080 is 800721.

It can be written as a sum of positive squares in only one way, i.e., 1016064 + 254016 = 1008^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (210).

It is a super-2 number, since 2×12700802 = 3226206412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 181437 + ... + 181443.

21270080 is an apocalyptic number.

1270080 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 1270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627757).

1270080 is an abundant number, since it is smaller than the sum of its proper divisors (3985434).

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

1270080 is an equidigital number, since it uses as much as digits as its factorization.

1270080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1270080 is about 1126.9782606599. The cubic root of 1270080 is about 108.2954871087.

The spelling of 1270080 in words is "one million, two hundred seventy thousand, eighty".