Search a number
-
+
387112 = 23115383
BaseRepresentation
bin1011110100000101000
3201200000111
41132200220
544341422
612144104
73201415
oct1364050
9650014
10387112
11244930
12168034
1310727b
14a110c
1579a77
hex5e828

387112 has 32 divisors (see below), whose sum is σ = 816480. Its totient is φ = 170560.

The previous prime is 387109. The next prime is 387137. The reversal of 387112 is 211783.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4623 + ... + 4705.

It is an arithmetic number, because the mean of its divisors is an integer number (25515).

2387112 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 387112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240).

387112 is an abundant number, since it is smaller than the sum of its proper divisors (429368).

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

387112 is a wasteful number, since it uses less digits than its factorization.

387112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its digits is 336, while the sum is 22.

The square root of 387112 is about 622.1832527479. The cubic root of 387112 is about 72.8806456461.

Adding to 387112 its reverse (211783), we get a palindrome (598895).

It can be divided in two parts, 3871 and 12, that added together give a palindrome (3883).

The spelling of 387112 in words is "three hundred eighty-seven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 53 83 88 106 166 212 332 424 583 664 913 1166 1826 2332 3652 4399 4664 7304 8798 17596 35192 48389 96778 193556 387112