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1238080 = 2655373
BaseRepresentation
bin100101110010001000000
32022220022211
410232101000
5304104310
642311504
713344364
oct4562100
92286284
101238080
11776208
124b8594
133446bc
142432a4
15196c8a
hex12e440

1238080 has 56 divisors (see below), whose sum is σ = 3044952. Its totient is φ = 479232.

The previous prime is 1238071. The next prime is 1238087. The reversal of 1238080 is 808321.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 984064 = 504^2 + 992^2 .

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (1238087) 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, 16924 + ... + 16996.

21238080 is an apocalyptic number.

1238080 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 1238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522476).

1238080 is an abundant number, since it is smaller than the sum of its proper divisors (1806872).

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

1238080 is an equidigital number, since it uses as much as digits as its factorization.

1238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1238080 is about 1112.6904331394. The cubic root of 1238080 is about 107.3782287998.

The spelling of 1238080 in words is "one million, two hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 73 80 106 146 160 212 265 292 320 365 424 530 584 730 848 1060 1168 1460 1696 2120 2336 2920 3392 3869 4240 4672 5840 7738 8480 11680 15476 16960 19345 23360 30952 38690 61904 77380 123808 154760 247616 309520 619040 1238080