Search a number
-
+
31155300 = 223352111049
BaseRepresentation
bin111011011011…
…0010001100100
32011121212001000
41312312101210
530433432200
63031433300
7525546531
oct166662144
964555030
1031155300
111664a490
12a525830
1365baab7
1441cdd88
152b06300
hex1db6464

31155300 has 144 divisors (see below), whose sum is σ = 109368000. Its totient is φ = 7545600.

The previous prime is 31155287. The next prime is 31155301. The reversal of 31155300 is 355113.

It is a happy number.

31155300 is a `hidden beast` number, since 311 + 55 + 300 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (31155301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29176 + ... + 30224.

It is an arithmetic number, because the mean of its divisors is an integer number (759500).

Almost surely, 231155300 is an apocalyptic number.

31155300 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 31155300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54684000).

31155300 is an abundant number, since it is smaller than the sum of its proper divisors (78212700).

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

31155300 is a wasteful number, since it uses less digits than its factorization.

31155300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 31155300 is about 5581.6932914663. The cubic root of 31155300 is about 314.6617684729.

It can be divided in two parts, 311 and 55300, that added together give a triangular number (55611 = T333).

The spelling of 31155300 in words is "thirty-one million, one hundred fifty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1049 1100 1188 1350 1485 1650 1980 2098 2475 2700 2970 3147 3300 4196 4950 5245 5940 6294 7425 9441 9900 10490 11539 12588 14850 15735 18882 20980 23078 26225 28323 29700 31470 34617 37764 46156 47205 52450 56646 57695 62940 69234 78675 94410 103851 104900 113292 115390 138468 141615 157350 173085 188820 207702 230780 236025 283230 288475 311553 314700 346170 415404 472050 519255 566460 576950 623106 692340 708075 865425 944100 1038510 1153900 1246212 1416150 1557765 1730850 2077020 2596275 2832300 3115530 3461700 5192550 6231060 7788825 10385100 15577650 31155300