Search a number
-
+
31868137 = 737711733
BaseRepresentation
bin111100110010…
…0010011101001
32012222001212101
41321210103221
531124240022
63055013401
7534606010
oct171442351
965861771
1031868137
1116a97004
12a80a261
1367aa3b2
144337a77
152be7627
hex1e644e9

31868137 has 16 divisors (see below), whose sum is σ = 37953792. Its totient is φ = 26187840.

The previous prime is 31868101. The next prime is 31868171. The reversal of 31868137 is 73186813.

It is not a de Polignac number, because 31868137 - 27 = 31868009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a pancake number, because a pancake can be divided into 31868137 parts by 7983 straight cuts.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31868096 and 31868105.

It is not an unprimeable number, because it can be changed into a prime (31868197) 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 15 ways as a sum of consecutive naturals, for example, 17523 + ... + 19255.

It is an arithmetic number, because the mean of its divisors is an integer number (2372112).

Almost surely, 231868137 is an apocalyptic number.

31868137 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

31868137 is a deficient number, since it is larger than the sum of its proper divisors (6085655).

31868137 is a wasteful number, since it uses less digits than its factorization.

31868137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848.

The product of its digits is 24192, while the sum is 37.

The square root of 31868137 is about 5645.1870651024. The cubic root of 31868137 is about 317.0435278093.

The spelling of 31868137 in words is "thirty-one million, eight hundred sixty-eight thousand, one hundred thirty-seven".

Divisors: 1 7 37 71 259 497 1733 2627 12131 18389 64121 123043 448847 861301 4552591 31868137