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320112 = 24341319
BaseRepresentation
bin1001110001001110000
3121021010000
41032021300
540220422
610510000
72502162
oct1161160
9537100
10320112
111a9561
12135300
13b2920
1484932
1564cac
hex4e270

320112 has 100 divisors (see below), whose sum is σ = 1050280. Its totient is φ = 93312.

The previous prime is 320107. The next prime is 320113. The reversal of 320112 is 211023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 320094 and 320103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320113) by changing a digit.

320112 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 19 ways as a sum of consecutive naturals, for example, 16839 + ... + 16857.

2320112 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 320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525140).

320112 is an abundant number, since it is smaller than the sum of its proper divisors (730168).

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

320112 is a wasteful number, since it uses less digits than its factorization.

320112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 320112 is about 565.7844112381. The cubic root of 320112 is about 68.4070168240.

Adding to 320112 its reverse (211023), we get a palindrome (531135).

The spelling of 320112 in words is "three hundred twenty thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 81 104 108 114 117 144 152 156 162 171 208 216 228 234 247 304 312 324 342 351 432 456 468 494 513 624 648 684 702 741 912 936 988 1026 1053 1296 1368 1404 1482 1539 1872 1976 2052 2106 2223 2736 2808 2964 3078 3952 4104 4212 4446 5616 5928 6156 6669 8208 8424 8892 11856 12312 13338 16848 17784 20007 24624 26676 35568 40014 53352 80028 106704 160056 320112