Search a number
-
+
512380 = 2251117137
BaseRepresentation
bin1111101000101111100
3222000212001
41331011330
5112344010
614552044
74232551
oct1750574
9860761
10512380
1131aa60
12208624
1314c2ab
14d4a28
15a1c3a
hex7d17c

512380 has 48 divisors (see below), whose sum is σ = 1251936. Its totient is φ = 174080.

The previous prime is 512353. The next prime is 512389. The reversal of 512380 is 83215.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512389) by changing a digit.

512380 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, 3672 + ... + 3808.

It is an arithmetic number, because the mean of its divisors is an integer number (26082).

2512380 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 512380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625968).

512380 is an abundant number, since it is smaller than the sum of its proper divisors (739556).

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

512380 is a wasteful number, since it uses less digits than its factorization.

512380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 512380 is about 715.8072366217. The cubic root of 512380 is about 80.0197867723.

Adding to 512380 its reverse (83215), we get a palindrome (595595).

The spelling of 512380 in words is "five hundred twelve thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 137 170 187 220 274 340 374 548 685 748 935 1370 1507 1870 2329 2740 3014 3740 4658 6028 7535 9316 11645 15070 23290 25619 30140 46580 51238 102476 128095 256190 512380