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1240720 = 245131193
BaseRepresentation
bin100101110111010010000
32100000221121
410232322100
5304200340
642332024
713355155
oct4567220
92300847
101240720
11778198
124ba014
13345970
1424422c
1519794a
hex12ee90

1240720 has 40 divisors (see below), whose sum is σ = 3109176. Its totient is φ = 457728.

The previous prime is 1240717. The next prime is 1240739. The reversal of 1240720 is 270421.

It can be written as a sum of positive squares in 4 ways, for example, as 21904 + 1218816 = 148^2 + 1104^2 .

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

It is a super-2 number, since 2×12407202 = 3078772236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1240694 and 1240703.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444 + ... + 1636.

21240720 is an apocalyptic number.

1240720 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 1240720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554588).

1240720 is an abundant number, since it is smaller than the sum of its proper divisors (1868456).

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

1240720 is a wasteful number, since it uses less digits than its factorization.

1240720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 1240720 is about 1113.8761151941. The cubic root of 1240720 is about 107.4544966964.

Subtracting from 1240720 its reverse (270421), we obtain a cube (970299 = 993).

The spelling of 1240720 in words is "one million, two hundred forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1193 2386 4772 5965 9544 11930 15509 19088 23860 31018 47720 62036 77545 95440 124072 155090 248144 310180 620360 1240720