Search a number
-
+
520296 = 233719163
BaseRepresentation
bin1111111000001101000
3222102201020
41333001220
5113122141
615052440
74264620
oct1770150
9872636
10520296
113259a7
12211120
13152a8a
14d7880
15a4266
hex7f068

520296 has 64 divisors (see below), whose sum is σ = 1574400. Its totient is φ = 139968.

The previous prime is 520291. The next prime is 520297. The reversal of 520296 is 692025.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520291) by changing a digit.

520296 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 15 ways as a sum of consecutive naturals, for example, 3111 + ... + 3273.

It is an arithmetic number, because the mean of its divisors is an integer number (24600).

2520296 is an apocalyptic number.

520296 is a gapful number since it is divisible by the number (56) 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 520296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787200).

520296 is an abundant number, since it is smaller than the sum of its proper divisors (1054104).

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

520296 is a wasteful number, since it uses less digits than its factorization.

520296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 520296 is about 721.3154649666. The cubic root of 520296 is about 80.4297704163.

It can be divided in two parts, 5 and 20296, that added together give a triangular number (20301 = T201).

The spelling of 520296 in words is "five hundred twenty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 163 168 228 266 326 399 456 489 532 652 798 978 1064 1141 1304 1596 1956 2282 3097 3192 3423 3912 4564 6194 6846 9128 9291 12388 13692 18582 21679 24776 27384 37164 43358 65037 74328 86716 130074 173432 260148 520296