Search a number
-
+
55121820 = 223513174157
BaseRepresentation
bin1101001001000…
…1011110011100
310211201110220220
43102101132130
5103102344240
65245241340
71236346005
oct322213634
9124643826
1055121820
1129129926
1216563250
13b55c780
14746c1ac
154c8c5d0
hex349179c

55121820 has 96 divisors (see below), whose sum is σ = 176033088. Its totient is φ = 12767232.

The previous prime is 55121819. The next prime is 55121849. The reversal of 55121820 is 2812155.

55121820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×551218202 = 6076830080224800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11182 + ... + 15338.

It is an arithmetic number, because the mean of its divisors is an integer number (1833678).

Almost surely, 255121820 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 55121820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88016544).

55121820 is an abundant number, since it is smaller than the sum of its proper divisors (120911268).

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

55121820 is a wasteful number, since it uses less digits than its factorization.

55121820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 55121820 is about 7424.4070470308. The cubic root of 55121820 is about 380.5758121678.

Adding to 55121820 its reverse (2812155), we get a palindrome (57933975).

The spelling of 55121820 in words is "fifty-five million, one hundred twenty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4157 4420 6630 8314 12471 13260 16628 20785 24942 41570 49884 54041 62355 70669 83140 108082 124710 141338 162123 212007 216164 249420 270205 282676 324246 353345 424014 540410 648492 706690 810615 848028 918697 1060035 1080820 1413380 1621230 1837394 2120070 2756091 3242460 3674788 4240140 4593485 5512182 9186970 11024364 13780455 18373940 27560910 55121820