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1241280 = 26325431
BaseRepresentation
bin100101111000011000000
32100001201100
410233003000
5304210110
642334400
713356615
oct4570300
92301640
101241280
11778657
124ba400
13345cb1
1424450c
15197bc0
hex12f0c0

1241280 has 84 divisors (see below), whose sum is σ = 4279392. Its totient is φ = 330240.

The previous prime is 1241269. The next prime is 1241291. The reversal of 1241280 is 821421.

It is an interprime number because it is at equal distance from previous prime (1241269) and next prime (1241291).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2665 + ... + 3095.

21241280 is an apocalyptic number.

1241280 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 1241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139696).

1241280 is an abundant number, since it is smaller than the sum of its proper divisors (3038112).

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

1241280 is a wasteful number, since it uses less digits than its factorization.

1241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1241280 is about 1114.1274612898. The cubic root of 1241280 is about 107.4706608234.

It can be divided in two parts, 1241 and 280, that added together give a square (1521 = 392).

The spelling of 1241280 in words is "one million, two hundred forty-one thousand, two hundred eighty".

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 96 120 144 160 180 192 240 288 320 360 431 480 576 720 862 960 1293 1440 1724 2155 2586 2880 3448 3879 4310 5172 6465 6896 7758 8620 10344 12930 13792 15516 17240 19395 20688 25860 27584 31032 34480 38790 41376 51720 62064 68960 77580 82752 103440 124128 137920 155160 206880 248256 310320 413760 620640 1241280