[go: up one dir, main page]

Search a number
-
+
36121500 = 22325323349
BaseRepresentation
bin1000100111001…
…0101110011100
32111222011101100
42021302232130
533221342000
63330113100
7616012332
oct211625634
974864340
1036121500
1119431688
121011b790
13763938c
144b23b52
153287a00
hex2272b9c

36121500 has 144 divisors (see below), whose sum is σ = 119246400. Its totient is φ = 9187200.

The previous prime is 36121499. The next prime is 36121529. The reversal of 36121500 is 512163.

36121500 is a `hidden beast` number, since 3 + 612 + 1 + 50 + 0 = 666.

36121500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 47 ways as a sum of consecutive naturals, for example, 103326 + ... + 103674.

It is an arithmetic number, because the mean of its divisors is an integer number (828100).

Almost surely, 236121500 is an apocalyptic number.

36121500 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 36121500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59623200).

36121500 is an abundant number, since it is smaller than the sum of its proper divisors (83124900).

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

36121500 is a wasteful number, since it uses less digits than its factorization.

36121500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 36121500 is about 6010.1164714172. The cubic root of 36121500 is about 330.5637745866.

Adding to 36121500 its reverse (512163), we get a palindrome (36633663).

The spelling of 36121500 in words is "thirty-six million, one hundred twenty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 125 138 150 180 207 225 230 250 276 300 345 349 375 414 450 460 500 575 690 698 750 828 900 1035 1047 1125 1150 1380 1396 1500 1725 1745 2070 2094 2250 2300 2875 3141 3450 3490 4140 4188 4500 5175 5235 5750 6282 6900 6980 8027 8625 8725 10350 10470 11500 12564 15705 16054 17250 17450 20700 20940 24081 25875 26175 31410 32108 34500 34900 40135 43625 48162 51750 52350 62820 72243 78525 80270 87250 96324 103500 104700 120405 130875 144486 157050 160540 174500 200675 240810 261750 288972 314100 361215 392625 401350 481620 523500 602025 722430 785250 802700 1003375 1204050 1444860 1570500 1806075 2006750 2408100 3010125 3612150 4013500 6020250 7224300 9030375 12040500 18060750 36121500