Search a number
-
+
31088040 = 23353161137
BaseRepresentation
bin111011010010…
…1110110101000
32011111102202220
41312211312220
530424304130
63030154040
7525146454
oct166456650
964442686
1031088040
11166039a5
12a4b2920
1365962b9
1441b3664
152ae1410
hex1da5da8

31088040 has 128 divisors (see below), whose sum is σ = 98565120. Its totient is φ = 7833600.

The previous prime is 31088039. The next prime is 31088081. The reversal of 31088040 is 4088013.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31088040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226852 + ... + 226988.

It is an arithmetic number, because the mean of its divisors is an integer number (770040).

Almost surely, 231088040 is an apocalyptic number.

31088040 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 31088040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49282560).

31088040 is an abundant number, since it is smaller than the sum of its proper divisors (67477080).

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

31088040 is a wasteful number, since it uses less digits than its factorization.

31088040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 31088040 is about 5575.6649827621. The cubic root of 31088040 is about 314.4351681940.

The spelling of 31088040 in words is "thirty-one million, eighty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 61 62 93 120 122 124 137 155 183 186 244 248 274 305 310 366 372 411 465 488 548 610 620 685 732 744 822 915 930 1096 1220 1240 1370 1464 1644 1830 1860 1891 2055 2440 2740 3288 3660 3720 3782 4110 4247 5480 5673 7320 7564 8220 8357 8494 9455 11346 12741 15128 16440 16714 16988 18910 21235 22692 25071 25482 28365 33428 33976 37820 41785 42470 45384 50142 50964 56730 63705 66856 75640 83570 84940 100284 101928 113460 125355 127410 167140 169880 200568 226920 250710 254820 259067 334280 501420 509640 518134 777201 1002840 1036268 1295335 1554402 2072536 2590670 3108804 3886005 5181340 6217608 7772010 10362680 15544020 31088040