Search a number
-
+
31370040 = 23325136703
BaseRepresentation
bin111011110101…
…0101100111000
32012000202121100
41313222230320
531012320130
63040211400
7530432562
oct167525470
965022540
1031370040
1116786859
12a609b60
136664770
144248332
152b49c60
hex1deab38

31370040 has 96 divisors (see below), whose sum is σ = 109811520. Its totient is φ = 7720704.

The previous prime is 31370039. The next prime is 31370057. The reversal of 31370040 is 4007313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31369995 and 31370022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1329 + ... + 8031.

It is an arithmetic number, because the mean of its divisors is an integer number (1143870).

Almost surely, 231370040 is an apocalyptic number.

31370040 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 31370040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54905760).

31370040 is an abundant number, since it is smaller than the sum of its proper divisors (78441480).

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

31370040 is a wasteful number, since it uses less digits than its factorization.

31370040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 31370040 is about 5600.8963568343. The cubic root of 31370040 is about 315.3830562927.

Adding to 31370040 its reverse (4007313), we get a palindrome (35377353).

The spelling of 31370040 in words is "thirty-one million, three hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 6703 13406 20109 26812 33515 40218 53624 60327 67030 80436 87139 100545 120654 134060 160872 174278 201090 241308 261417 268120 301635 348556 402180 435695 482616 522834 603270 697112 784251 804360 871390 1045668 1206540 1307085 1568502 1742780 2091336 2413080 2614170 3137004 3485560 3921255 5228340 6274008 7842510 10456680 15685020 31370040