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526960 = 2457941
BaseRepresentation
bin10000000101001110000
3222202212001
42000221300
5113330320
615143344
74323220
oct2005160
9882761
10526960
1132aa05
12214b54
13155b15
14da080
15a620a
hex80a70

526960 has 40 divisors (see below), whose sum is σ = 1401696. Its totient is φ = 180480.

The previous prime is 526957. The next prime is 526963. The reversal of 526960 is 69625.

It is an interprime number because it is at equal distance from previous prime (526957) and next prime (526963).

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

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526963) 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, 90 + ... + 1030.

2526960 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 526960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700848).

526960 is an abundant number, since it is smaller than the sum of its proper divisors (874736).

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

526960 is a wasteful number, since it uses less digits than its factorization.

526960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 526960 is about 725.9201057968. The cubic root of 526960 is about 80.7716987443.

It can be divided in two parts, 5269 and 60, that added together give a square (5329 = 732).

The spelling of 526960 in words is "five hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 941 1882 3764 4705 6587 7528 9410 13174 15056 18820 26348 32935 37640 52696 65870 75280 105392 131740 263480 526960