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513396 = 2232131097
BaseRepresentation
bin1111101010101110100
3222002020200
41331111310
5112412041
615000500
74235532
oct1752564
9862220
10513396
113207a4
12209130
1314c8b0
14d5152
15a21b6
hex7d574

513396 has 36 divisors (see below), whose sum is σ = 1398852. Its totient is φ = 157824.

The previous prime is 513371. The next prime is 513397. The reversal of 513396 is 693315.

It can be written as a sum of positive squares in 2 ways, for example, as 108900 + 404496 = 330^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81 + ... + 1016.

It is an arithmetic number, because the mean of its divisors is an integer number (38857).

2513396 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 513396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699426).

513396 is an abundant number, since it is smaller than the sum of its proper divisors (885456).

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

513396 is a wasteful number, since it uses less digits than its factorization.

513396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1115 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 513396 is about 716.5165734301. The cubic root of 513396 is about 80.0726423520.

It can be divided in two parts, 513 and 396, that added together give a palindrome (909).

The spelling of 513396 in words is "five hundred thirteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1097 2194 3291 4388 6582 9873 13164 14261 19746 28522 39492 42783 57044 85566 128349 171132 256698 513396