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1249040 = 245131201
BaseRepresentation
bin100110000111100010000
32100110100202
410300330100
5304432130
642434332
713421342
oct4607420
92313322
101249040
11783471
125029a8
133496a0
14247292
1519a145
hex130f10

1249040 has 40 divisors (see below), whose sum is σ = 3130008. Its totient is φ = 460800.

The previous prime is 1249037. The next prime is 1249043. The reversal of 1249040 is 409421.

It is an interprime number because it is at equal distance from previous prime (1249037) and next prime (1249043).

It can be written as a sum of positive squares in 4 ways, for example, as 73984 + 1175056 = 272^2 + 1084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1249043) 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, 440 + ... + 1640.

21249040 is an apocalyptic number.

1249040 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 1249040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565004).

1249040 is an abundant number, since it is smaller than the sum of its proper divisors (1880968).

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

1249040 is a wasteful number, since it uses less digits than its factorization.

1249040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1249040 is about 1117.6045812361. The cubic root of 1249040 is about 107.6941506749.

The spelling of 1249040 in words is "one million, two hundred forty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1201 2402 4804 6005 9608 12010 15613 19216 24020 31226 48040 62452 78065 96080 124904 156130 249808 312260 624520 1249040