Search a number
-
+
31796820 = 223351153101
BaseRepresentation
bin111100101001…
…0111001010100
32012211110001000
41321102321110
531114444240
63053303300
7534161046
oct171227124
965743030
1031796820
1116a48470
12a794b30
136783ab3
144319a96
152bd1430
hex1e52e54

31796820 has 192 divisors, whose sum is σ = 111041280. Its totient is φ = 7488000.

The previous prime is 31796819. The next prime is 31796827. The reversal of 31796820 is 2869713.

It is a super-2 number, since 2×317968202 = 2022075524224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31796827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314770 + ... + 314870.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 231796820 is an apocalyptic number.

31796820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31796820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55520640).

31796820 is an abundant number, since it is smaller than the sum of its proper divisors (79244460).

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

31796820 is a wasteful number, since it uses less digits than its factorization.

31796820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 31796820 is about 5638.8669074558. The cubic root of 31796820 is about 316.8068495994.

It can be divided in two parts, 3179 and 6820, that added together give a palindrome (9999).

The spelling of 31796820 in words is "thirty-one million, seven hundred ninety-six thousand, eight hundred twenty".