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503412 = 223713461
BaseRepresentation
bin1111010111001110100
3221120112220
41322321310
5112102122
614442340
74164450
oct1727164
9846486
10503412
11314248
122033b0
131481a0
14d1660
159e25c
hex7ae74

503412 has 48 divisors (see below), whose sum is σ = 1448832. Its totient is φ = 132480.

The previous prime is 503407. The next prime is 503413. The reversal of 503412 is 214305.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 503391 and 503400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 862 + ... + 1322.

It is an arithmetic number, because the mean of its divisors is an integer number (30184).

2503412 is an apocalyptic number.

503412 is a gapful number since it is divisible by the number (52) 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 503412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724416).

503412 is an abundant number, since it is smaller than the sum of its proper divisors (945420).

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

503412 is a wasteful number, since it uses less digits than its factorization.

503412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 503412 is about 709.5153275300. The cubic root of 503412 is about 79.5501838920.

Adding to 503412 its reverse (214305), we get a palindrome (717717).

The spelling of 503412 in words is "five hundred three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 461 546 922 1092 1383 1844 2766 3227 5532 5993 6454 9681 11986 12908 17979 19362 23972 35958 38724 41951 71916 83902 125853 167804 251706 503412