Search a number
-
+
31318040 = 23513229263
BaseRepresentation
bin111011101111…
…0000000011000
32011221010021102
41313132000120
531004134130
63035130532
7530125145
oct167360030
964833242
1031318040
1116750786
12a5a3a48
136646bb0
1442333cc
152b39645
hex1dde018

31318040 has 64 divisors (see below), whose sum is σ = 76507200. Its totient is φ = 11469312.

The previous prime is 31318037. The next prime is 31318043. The reversal of 31318040 is 4081313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31318037) and next prime (31318043).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31318043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118949 + ... + 119211.

It is an arithmetic number, because the mean of its divisors is an integer number (1195425).

Almost surely, 231318040 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 31318040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38253600).

31318040 is an abundant number, since it is smaller than the sum of its proper divisors (45189160).

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

31318040 is a wasteful number, since it uses less digits than its factorization.

31318040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 31318040 is about 5596.2523173996. The cubic root of 31318040 is about 315.2086968406.

Adding to 31318040 its reverse (4081313), we get a palindrome (35399353).

The spelling of 31318040 in words is "thirty-one million, three hundred eighteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 229 260 263 458 520 526 916 1052 1145 1315 1832 2104 2290 2630 2977 3419 4580 5260 5954 6838 9160 10520 11908 13676 14885 17095 23816 27352 29770 34190 59540 60227 68380 119080 120454 136760 240908 301135 481816 602270 782951 1204540 1565902 2409080 3131804 3914755 6263608 7829510 15659020 31318040