Search a number
-
+
20246100 = 22352731311
BaseRepresentation
bin100110100111…
…0111001010100
31102002121102120
41031032321110
520140333400
62001535540
7334042350
oct115167124
942077376
1020246100
1110479216
1269445b0
13426b454
142990460
151b9dca0
hex134ee54

20246100 has 144 divisors (see below), whose sum is σ = 69328896. Its totient is φ = 4464000.

The previous prime is 20246081. The next prime is 20246101. The reversal of 20246100 is 164202.

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 20246100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20246101) by changing a digit.

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, 64945 + ... + 65255.

Almost surely, 220246100 is an apocalyptic number.

20246100 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 20246100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34664448).

20246100 is an abundant number, since it is smaller than the sum of its proper divisors (49082796).

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

20246100 is a wasteful number, since it uses less digits than its factorization.

20246100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 359 counting only the distinct ones).

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

The square root of 20246100 is about 4499.5666458005. The cubic root of 20246100 is about 272.5505896031.

The spelling of 20246100 in words is "twenty million, two hundred forty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 84 93 100 105 124 140 150 155 175 186 210 217 300 310 311 350 372 420 434 465 525 620 622 651 700 775 868 930 933 1050 1085 1244 1302 1550 1555 1860 1866 2100 2170 2177 2325 2604 3100 3110 3255 3732 4340 4354 4650 4665 5425 6220 6510 6531 7775 8708 9300 9330 9641 10850 10885 13020 13062 15550 16275 18660 19282 21700 21770 23325 26124 28923 31100 32550 32655 38564 43540 46650 48205 54425 57846 65100 65310 67487 93300 96410 108850 115692 130620 134974 144615 163275 192820 202461 217700 241025 269948 289230 326550 337435 404922 482050 578460 653100 674870 723075 809844 964100 1012305 1349740 1446150 1687175 2024610 2892300 3374350 4049220 5061525 6748700 10123050 20246100