Search a number
-
+
31054200 = 2335273709
BaseRepresentation
bin111011001110…
…1100101111000
32011102201100120
41312131211320
530422213300
63025333240
7524646012
oct166354570
964381316
1031054200
1116590531
12a497220
136583a88
1441a51b2
152ad63a0
hex1d9d978

31054200 has 96 divisors (see below), whose sum is σ = 97724400. Its totient is φ = 8156160.

The previous prime is 31054181. The next prime is 31054241. The reversal of 31054200 is 245013.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31054200.

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, 43446 + ... + 44154.

Almost surely, 231054200 is an apocalyptic number.

31054200 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 31054200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48862200).

31054200 is an abundant number, since it is smaller than the sum of its proper divisors (66670200).

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

31054200 is a wasteful number, since it uses less digits than its factorization.

31054200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 31054200 is about 5572.6295408900. The cubic root of 31054200 is about 314.3210369587.

Adding to 31054200 its reverse (245013), we get a palindrome (31299213).

The spelling of 31054200 in words is "thirty-one million, fifty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 146 150 200 219 292 300 365 438 584 600 709 730 876 1095 1418 1460 1752 1825 2127 2190 2836 2920 3545 3650 4254 4380 5475 5672 7090 7300 8508 8760 10635 10950 14180 14600 17016 17725 21270 21900 28360 35450 42540 43800 51757 53175 70900 85080 103514 106350 141800 155271 207028 212700 258785 310542 414056 425400 517570 621084 776355 1035140 1242168 1293925 1552710 2070280 2587850 3105420 3881775 5175700 6210840 7763550 10351400 15527100 31054200