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1248040 = 23541761
BaseRepresentation
bin100110000101100101000
32100101222201
410300230220
5304414130
642425544
713415413
oct4605450
92311881
101248040
11782742
125022b4
133490b1
14246b7a
15199bca
hex130b28

1248040 has 32 divisors (see below), whose sum is σ = 2880360. Its totient is φ = 486400.

The previous prime is 1248031. The next prime is 1248041. The reversal of 1248040 is 408421.

It can be written as a sum of positive squares in 4 ways, for example, as 244036 + 1004004 = 494^2 + 1002^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1247999 and 1248017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1248041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1260 + ... + 2020.

21248040 is an apocalyptic number.

1248040 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 1248040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440180).

1248040 is an abundant number, since it is smaller than the sum of its proper divisors (1632320).

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

1248040 is a wasteful number, since it uses less digits than its factorization.

1248040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1248040 is about 1117.1571062299. The cubic root of 1248040 is about 107.6654024886.

The spelling of 1248040 in words is "one million, two hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 761 820 1522 1640 3044 3805 6088 7610 15220 30440 31201 62402 124804 156005 249608 312010 624020 1248040