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526080 = 2835137
BaseRepresentation
bin10000000011100000000
3222201122110
42000130000
5113313310
615135320
74320522
oct2003400
9881573
10526080
1132a285
12214540
131555b9
14d9a12
15a5d20
hex80700

526080 has 72 divisors (see below), whose sum is σ = 1692432. Its totient is φ = 139264.

The previous prime is 526073. The next prime is 526087. The reversal of 526080 is 80625.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (526073) and next prime (526087).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 526080.

It is not an unprimeable number, because it can be changed into a prime (526087) by changing a digit.

526080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3772 + ... + 3908.

It is an arithmetic number, because the mean of its divisors is an integer number (23506).

2526080 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 526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846216).

526080 is an abundant number, since it is smaller than the sum of its proper divisors (1166352).

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

526080 is a wasteful number, since it uses less digits than its factorization.

526080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 526080 is about 725.3137252252. The cubic root of 526080 is about 80.7267119661.

The spelling of 526080 in words is "five hundred twenty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 137 160 192 240 256 274 320 384 411 480 548 640 685 768 822 960 1096 1280 1370 1644 1920 2055 2192 2740 3288 3840 4110 4384 5480 6576 8220 8768 10960 13152 16440 17536 21920 26304 32880 35072 43840 52608 65760 87680 105216 131520 175360 263040 526080