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20670100 = 225211192343
BaseRepresentation
bin100111011011…
…0011010010100
31102220011001021
41032312122110
520242420400
62015010524
7340456453
oct116663224
942804037
1020670100
1110738830
126b09a44
134389439
142a60b9a
151c3471a
hex13b6694

20670100 has 144 divisors (see below), whose sum is σ = 54996480. Its totient is φ = 6652800.

The previous prime is 20670061. The next prime is 20670137. The reversal of 20670100 is 107602.

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, 480679 + ... + 480721.

It is an arithmetic number, because the mean of its divisors is an integer number (381920).

Almost surely, 220670100 is an apocalyptic number.

20670100 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 20670100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

20670100 is an abundant number, since it is smaller than the sum of its proper divisors (34326380).

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

20670100 is a wasteful number, since it uses less digits than its factorization.

20670100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 20670100 is about 4546.4381663012. The cubic root of 20670100 is about 274.4400728279.

Adding to 20670100 its reverse (107602), we get a palindrome (20777702).

The spelling of 20670100 in words is "twenty million, six hundred seventy thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 23 25 38 43 44 46 50 55 76 86 92 95 100 110 115 172 190 209 215 220 230 253 275 380 418 430 437 460 473 475 506 550 575 817 836 860 874 946 950 989 1012 1045 1075 1100 1150 1265 1634 1748 1892 1900 1978 2090 2150 2185 2300 2365 2530 3268 3956 4085 4180 4300 4370 4730 4807 4945 5060 5225 6325 8170 8740 8987 9460 9614 9890 10450 10879 10925 11825 12650 16340 17974 18791 19228 19780 20425 20900 21758 21850 23650 24035 24725 25300 35948 37582 40850 43516 43700 44935 47300 48070 49450 54395 75164 81700 89870 93955 96140 98900 108790 120175 179740 187910 206701 217580 224675 240350 271975 375820 413402 449350 469775 480700 543950 826804 898700 939550 1033505 1087900 1879100 2067010 4134020 5167525 10335050 20670100