Search a number
-
+
31885040 = 24511191907
BaseRepresentation
bin111100110100…
…0011011110000
32012222221001102
41321220123300
531130310130
63055223532
7535006205
oct171503360
965887042
1031885040
1116aa8780
12a817ba8
1367b4cb5
14433dcac
152bec645
hex1e686f0

31885040 has 80 divisors (see below), whose sum is σ = 85173120. Its totient is φ = 10978560.

The previous prime is 31885039. The next prime is 31885067. The reversal of 31885040 is 4058813.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 31884994 and 31885012.

It is a congruent number.

It is an unprimeable number.

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, 15767 + ... + 17673.

It is an arithmetic number, because the mean of its divisors is an integer number (1064664).

Almost surely, 231885040 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 31885040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42586560).

31885040 is an abundant number, since it is smaller than the sum of its proper divisors (53288080).

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

31885040 is a wasteful number, since it uses less digits than its factorization.

31885040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 31885040 is about 5646.6839826574. The cubic root of 31885040 is about 317.0995716623.

It can be divided in two parts, 3188 and 5040, that added together give a palindrome (8228).

The spelling of 31885040 in words is "thirty-one million, eight hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 1907 2090 3344 3814 4180 7628 8360 9535 15256 16720 19070 20977 30512 36233 38140 41954 72466 76280 83908 104885 144932 152560 167816 181165 209770 289864 335632 362330 398563 419540 579728 724660 797126 839080 1449320 1594252 1678160 1992815 2898640 3188504 3985630 6377008 7971260 15942520 31885040