Search a number
-
+
31886001 = 3371131493
BaseRepresentation
bin111100110100…
…0101010110001
32012222222101000
41321220222301
531130323001
63055232213
7535012050
oct171505261
965888330
1031886001
1116aa9474
12a818669
1367b5574
144340397
152beca86
hex1e68ab1

31886001 has 32 divisors (see below), whose sum is σ = 54501120. Its totient is φ = 18047232.

The previous prime is 31885991. The next prime is 31886039. The reversal of 31886001 is 10068813.

It is not a de Polignac number, because 31886001 - 27 = 31885873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31886081) 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 31 ways as a sum of consecutive naturals, for example, 20611 + ... + 22103.

It is an arithmetic number, because the mean of its divisors is an integer number (1703160).

Almost surely, 231886001 is an apocalyptic number.

It is an amenable number.

31886001 is a deficient number, since it is larger than the sum of its proper divisors (22615119).

31886001 is a wasteful number, since it uses less digits than its factorization.

31886001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 31886001 is about 5646.7690762063. The cubic root of 31886001 is about 317.1027573739.

The spelling of 31886001 in words is "thirty-one million, eight hundred eighty-six thousand, one".

Divisors: 1 3 7 9 21 27 63 113 189 339 791 1017 1493 2373 3051 4479 7119 10451 13437 21357 31353 40311 94059 168709 282177 506127 1180963 1518381 3542889 4555143 10628667 31886001