Search a number
-
+
31028140 = 225111319571
BaseRepresentation
bin111011001011…
…1001110101100
32011101101121101
41312113032230
530420400030
63025012444
7524510023
oct166271654
964341541
1031028140
11165729a0
12a484124
136574c60
1441998ba
152acd7ca
hex1d973ac

31028140 has 96 divisors (see below), whose sum is σ = 80720640. Its totient is φ = 9849600.

The previous prime is 31028093. The next prime is 31028143. The reversal of 31028140 is 4182013.

31028140 = T1 + T2 + ... + T570.

31028140 is a nontrivial binomial coefficient, being equal to C(572, 3).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (31028143) by changing a digit.

It is the 570-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54055 + ... + 54625.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 231028140 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 31028140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40360320).

31028140 is an abundant number, since it is smaller than the sum of its proper divisors (49692500).

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

31028140 is a wasteful number, since it uses less digits than its factorization.

31028140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 31028140 is about 5570.2908362131. The cubic root of 31028140 is about 314.2330885912.

The spelling of 31028140 in words is "thirty-one million, twenty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 19 20 22 26 38 44 52 55 65 76 95 110 130 143 190 209 220 247 260 286 380 418 494 571 572 715 836 988 1045 1142 1235 1430 2090 2284 2470 2717 2855 2860 4180 4940 5434 5710 6281 7423 10849 10868 11420 12562 13585 14846 21698 25124 27170 29692 31405 37115 43396 54245 54340 62810 74230 81653 108490 119339 125620 141037 148460 163306 216980 238678 282074 326612 408265 477356 564148 596695 705185 816530 1193390 1410370 1551407 1633060 2386780 2820740 3102814 6205628 7757035 15514070 31028140