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960520 = 235113759
BaseRepresentation
bin11101010100000001000
31210210120211
43222200020
5221214040
632330504
711110231
oct3524010
91723524
10960520
115a6720
123a3a34
13278272
141b0088
1513e8ea
hexea808

960520 has 64 divisors (see below), whose sum is σ = 2462400. Its totient is φ = 334080.

The previous prime is 960499. The next prime is 960521. The reversal of 960520 is 25069.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 960491 and 960500.

It is not an unprimeable number, because it can be changed into a prime (960521) by changing a digit.

960520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 16251 + ... + 16309.

It is an arithmetic number, because the mean of its divisors is an integer number (38475).

2960520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231200).

960520 is an abundant number, since it is smaller than the sum of its proper divisors (1501880).

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

960520 is a wasteful number, since it uses less digits than its factorization.

960520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 960520 is about 980.0612225774. The cubic root of 960520 is about 98.6662912899. Note that the first 3 decimals are identical.

960520 divided by its sum of digits (22) gives a triangular number (43660 = T295).

Adding to 960520 its reverse (25069), we get a palindrome (985589).

The spelling of 960520 in words is "nine hundred sixty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 59 74 88 110 118 148 185 220 236 295 296 370 407 440 472 590 649 740 814 1180 1298 1480 1628 2035 2183 2360 2596 3245 3256 4070 4366 5192 6490 8140 8732 10915 12980 16280 17464 21830 24013 25960 43660 48026 87320 96052 120065 192104 240130 480260 960520