Search a number
-
+
503316 = 2232113141
BaseRepresentation
bin1111010111000010100
3221120102100
41322320110
5112101231
614442100
74164252
oct1727024
9846370
10503316
11314170
12203330
13148128
14d15d2
159e1e6
hex7ae14

503316 has 72 divisors (see below), whose sum is σ = 1467648. Its totient is φ = 144000.

The previous prime is 503303. The next prime is 503317. The reversal of 503316 is 613305.

503316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503317) by changing a digit.

503316 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 23 ways as a sum of consecutive naturals, for example, 12256 + ... + 12296.

It is an arithmetic number, because the mean of its divisors is an integer number (20384).

2503316 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 503316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824).

503316 is an abundant number, since it is smaller than the sum of its proper divisors (964332).

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

503316 is a wasteful number, since it uses less digits than its factorization.

503316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 503316 is about 709.4476724890. The cubic root of 503316 is about 79.5451268657.

The spelling of 503316 in words is "five hundred three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 41 44 62 66 82 93 99 123 124 132 164 186 198 246 279 341 369 372 396 451 492 558 682 738 902 1023 1116 1271 1353 1364 1476 1804 2046 2542 2706 3069 3813 4059 4092 5084 5412 6138 7626 8118 11439 12276 13981 15252 16236 22878 27962 41943 45756 55924 83886 125829 167772 251658 503316