Search a number
-
+
31105700 = 2252535869
BaseRepresentation
bin111011010101…
…0001010100100
32011112022222222
41312222022210
530430340300
63030411512
7525252113
oct166521244
964468888
1031105700
111661619a
12a500b98
1365a1352
1441b9c7a
152ae6785
hex1daa2a4

31105700 has 36 divisors (see below), whose sum is σ = 68784660. Its totient is φ = 12205440.

The previous prime is 31105673. The next prime is 31105751. The reversal of 31105700 is 750113.

It can be written as a sum of positive squares in 6 ways, for example, as 2096704 + 29008996 = 1448^2 + 5386^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2366 + ... + 8234.

It is an arithmetic number, because the mean of its divisors is an integer number (1910685).

Almost surely, 231105700 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 31105700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34392330).

31105700 is an abundant number, since it is smaller than the sum of its proper divisors (37678960).

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

31105700 is a wasteful number, since it uses less digits than its factorization.

31105700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936 (or 5929 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 31105700 is about 5577.2484255231. The cubic root of 31105700 is about 314.4946967022.

Adding to 31105700 its reverse (750113), we get a palindrome (31855813).

The spelling of 31105700 in words is "thirty-one million, one hundred five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 5869 11738 23476 29345 58690 117380 146725 293450 311057 586900 622114 1244228 1555285 3110570 6221140 7776425 15552850 31105700