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1248940 = 225711811
BaseRepresentation
bin100110000111010101100
32100110020001
410300322230
5304431230
642434044
713421140
oct4607254
92313201
101248940
11783390
12502924
13349624
14247220
1519a0ca
hex130eac

1248940 has 48 divisors (see below), whose sum is σ = 3273984. Its totient is φ = 388800.

The previous prime is 1248917. The next prime is 1248941. The reversal of 1248940 is 498421.

It is a super-2 number, since 2×12489402 = 3119702247200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1248899 and 1248908.

It is not an unprimeable number, because it can be changed into a prime (1248941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1135 + ... + 1945.

It is an arithmetic number, because the mean of its divisors is an integer number (68208).

21248940 is an apocalyptic number.

1248940 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 1248940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636992).

1248940 is an abundant number, since it is smaller than the sum of its proper divisors (2025044).

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

1248940 is a wasteful number, since it uses less digits than its factorization.

1248940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1248940 is about 1117.5598417982. The cubic root of 1248940 is about 107.6912765469.

The spelling of 1248940 in words is "one million, two hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 811 1540 1622 3244 4055 5677 8110 8921 11354 16220 17842 22708 28385 35684 44605 56770 62447 89210 113540 124894 178420 249788 312235 624470 1248940