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18104100 = 22352737233
BaseRepresentation
bin100010100001…
…1111100100100
31021001210011020
41011003330210
514113312400
61444011140
7306611430
oct105037444
937053136
1018104100
11a245973
126090ab0
13399b4b1
1425939c0
1518c92a0
hex1143f24

18104100 has 144 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 4008960.

The previous prime is 18104089. The next prime is 18104101. The reversal of 18104100 is 140181.

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 18104100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18104101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77584 + ... + 77816.

It is an arithmetic number, because the mean of its divisors is an integer number (428792).

Almost surely, 218104100 is an apocalyptic number.

18104100 is a gapful number since it is divisible by the number (10) 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 18104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873024).

18104100 is an abundant number, since it is smaller than the sum of its proper divisors (43641948).

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

18104100 is a wasteful number, since it uses less digits than its factorization.

18104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 18104100 is about 4254.8913029595. The cubic root of 18104100 is about 262.5783892870.

Adding to 18104100 its reverse (140181), we get a palindrome (18244281).

The spelling of 18104100 in words is "eighteen million, one hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 37 42 50 60 70 74 75 84 100 105 111 140 148 150 175 185 210 222 233 259 300 350 370 420 444 466 518 525 555 699 700 740 777 925 932 1036 1050 1110 1165 1295 1398 1554 1631 1850 2100 2220 2330 2590 2775 2796 3108 3262 3495 3700 3885 4660 4893 5180 5550 5825 6475 6524 6990 7770 8155 8621 9786 11100 11650 12950 13980 15540 16310 17242 17475 19425 19572 23300 24465 25863 25900 32620 34484 34950 38850 40775 43105 48930 51726 60347 69900 77700 81550 86210 97860 103452 120694 122325 129315 163100 172420 181041 215525 241388 244650 258630 301735 362082 431050 489300 517260 603470 646575 724164 862100 905205 1206940 1293150 1508675 1810410 2586300 3017350 3620820 4526025 6034700 9052050 18104100