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1074240 = 26325373
BaseRepresentation
bin100000110010001000000
32000120120200
410012101000
5233333430
635005200
712062616
oct4062100
92016520
101074240
11674102
12439800
132b7c5b
141dd6b6
15163460
hex106440

1074240 has 84 divisors (see below), whose sum is σ = 3704844. Its totient is φ = 285696.

The previous prime is 1074223. The next prime is 1074251. The reversal of 1074240 is 424701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 484416 + 589824 = 696^2 + 768^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2694 + ... + 3066.

21074240 is an apocalyptic number.

1074240 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 1074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852422).

1074240 is an abundant number, since it is smaller than the sum of its proper divisors (2630604).

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

1074240 is a wasteful number, since it uses less digits than its factorization.

1074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1074240 is about 1036.4554983211. The cubic root of 1074240 is about 102.4158341400.

Adding to 1074240 its reverse (424701), we get a palindrome (1498941).

The spelling of 1074240 in words is "one million, seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 373 480 576 720 746 960 1119 1440 1492 1865 2238 2880 2984 3357 3730 4476 5595 5968 6714 7460 8952 11190 11936 13428 14920 16785 17904 22380 23872 26856 29840 33570 35808 44760 53712 59680 67140 71616 89520 107424 119360 134280 179040 214848 268560 358080 537120 1074240