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512316 = 2232719107
BaseRepresentation
bin1111101000100111100
3222000202200
41331010330
5112343231
614551500
74232430
oct1750474
9860680
10512316
1131aa02
12208590
1314c25c
14d49c0
15a1be6
hex7d13c

512316 has 72 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 137376.

The previous prime is 512311. The next prime is 512321. The reversal of 512316 is 613215.

It is an interprime number because it is at equal distance from previous prime (512311) and next prime (512321).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512311) by changing a digit.

512316 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4735 + ... + 4841.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2512316 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 512316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

512316 is an abundant number, since it is smaller than the sum of its proper divisors (1060164).

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

512316 is a wasteful number, since it uses less digits than its factorization.

512316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 138 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 512316 is about 715.7625304527. The cubic root of 512316 is about 80.0164549485.

It can be divided in two parts, 512 and 316, that added together give a palindrome (828).

The spelling of 512316 in words is "five hundred twelve thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 107 114 126 133 171 214 228 252 266 321 342 399 428 532 642 684 749 798 963 1197 1284 1498 1596 1926 2033 2247 2394 2996 3852 4066 4494 4788 6099 6741 8132 8988 12198 13482 14231 18297 24396 26964 28462 36594 42693 56924 73188 85386 128079 170772 256158 512316