Search a number
-
+
2104034100 = 2235272934549
BaseRepresentation
bin111110101101001…
…0000001100110100
312102122010000011220
41331122100030310
513302113042400
6544440430340
7103065665130
oct17532201464
95378100156
102104034100
1198a743a63
124a87783b0
13276ba10bc
1415d61a3c0
15c4ab27a0
hex7d690334

2104034100 has 144 divisors (see below), whose sum is σ = 7197456000. Its totient is φ = 464325120.

The previous prime is 2104034069. The next prime is 2104034117. The reversal of 2104034100 is 14304012.

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 2104034100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43626 + ... + 78174.

Almost surely, 22104034100 is an apocalyptic number.

2104034100 is a gapful number since it is divisible by the number (20) 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 2104034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598728000).

2104034100 is an abundant number, since it is smaller than the sum of its proper divisors (5093421900).

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

2104034100 is a wasteful number, since it uses less digits than its factorization.

2104034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34602 (or 34595 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2104034100 is about 45869.7514708768. The cubic root of 2104034100 is about 1281.3986380007.

Adding to 2104034100 its reverse (14304012), we get a palindrome (2118338112).

The spelling of 2104034100 in words is "two billion, one hundred four million, thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 29 30 35 42 50 58 60 70 75 84 87 100 105 116 140 145 150 174 175 203 210 290 300 348 350 406 420 435 525 580 609 700 725 812 870 1015 1050 1218 1450 1740 2030 2100 2175 2436 2900 3045 4060 4350 5075 6090 8700 10150 12180 15225 20300 30450 34549 60900 69098 103647 138196 172745 207294 241843 345490 414588 483686 518235 690980 725529 863725 967372 1001921 1036470 1209215 1451058 1727450 2003842 2072940 2418430 2591175 2902116 3005763 3454900 3627645 4007684 4836860 5009605 5182350 6011526 6046075 7013447 7255290 10019210 10364700 12023052 12092150 14026894 14510580 15028815 18138225 20038420 21040341 24184300 25048025 28053788 30057630 35067235 36276450 42080682 50096050 60115260 70134470 72552900 75144075 84161364 100192100 105201705 140268940 150288150 175336175 210403410 300576300 350672350 420806820 526008525 701344700 1052017050 2104034100