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1271040 = 2835331
BaseRepresentation
bin100110110010100000000
32101120112120
410312110000
5311133130
643124240
713542441
oct4662400
92346476
101271040
11798a51
12513680
133566c4
142512c8
151a1910
hex136500

1271040 has 72 divisors (see below), whose sum is σ = 4071648. Its totient is φ = 337920.

The previous prime is 1271033. The next prime is 1271047. The reversal of 1271040 is 401721.

It is an interprime number because it is at equal distance from previous prime (1271033) and next prime (1271047).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3675 + ... + 4005.

21271040 is an apocalyptic number.

1271040 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 1271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035824).

1271040 is an abundant number, since it is smaller than the sum of its proper divisors (2800608).

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

1271040 is an equidigital number, since it uses as much as digits as its factorization.

1271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 1271040 is about 1127.4040979170. The cubic root of 1271040 is about 108.3227655701.

Adding to 1271040 its reverse (401721), we get a palindrome (1672761).

The spelling of 1271040 in words is "one million, two hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 331 384 480 640 662 768 960 993 1280 1324 1655 1920 1986 2648 3310 3840 3972 4965 5296 6620 7944 9930 10592 13240 15888 19860 21184 26480 31776 39720 42368 52960 63552 79440 84736 105920 127104 158880 211840 254208 317760 423680 635520 1271040