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1060240 = 24529457
BaseRepresentation
bin100000010110110010000
31222212101011
410002312100
5232411430
634420304
712004036
oct4026620
91885334
101060240
11664635
12431694
132b177c
141d8556
1515e22a
hex102d90

1060240 has 40 divisors (see below), whose sum is σ = 2555640. Its totient is φ = 408576.

The previous prime is 1060237. The next prime is 1060249. The reversal of 1060240 is 420601.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 781456 = 528^2 + 884^2 .

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

It is a super-2 number, since 2×10602402 = 2248217715200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1060240.

It is not an unprimeable number, because it can be changed into a prime (1060249) 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, 2092 + ... + 2548.

It is an arithmetic number, because the mean of its divisors is an integer number (63891).

21060240 is an apocalyptic number.

1060240 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 1060240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277820).

1060240 is an abundant number, since it is smaller than the sum of its proper divisors (1495400).

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

1060240 is a wasteful number, since it uses less digits than its factorization.

1060240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1060240 is about 1029.6795618055. The cubic root of 1060240 is about 101.9689768526.

Adding to 1060240 its reverse (420601), we get a palindrome (1480841).

The spelling of 1060240 in words is "one million, sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 457 464 580 914 1160 1828 2285 2320 3656 4570 7312 9140 13253 18280 26506 36560 53012 66265 106024 132530 212048 265060 530120 1060240