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20900000 = 25551119
BaseRepresentation
bin100111110111…
…0100010100000
31110022211102002
41033232202200
520322300000
62023543132
7342434642
oct117564240
943284362
1020900000
1110885530
126bbaaa8
134439c84
142ac0892
151c7c8d5
hex13ee8a0

20900000 has 144 divisors (see below), whose sum is σ = 59058720. Its totient is φ = 7200000.

The previous prime is 20899993. The next prime is 20900051. The reversal of 20900000 is 902.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099991 + ... + 1100009.

It is an arithmetic number, because the mean of its divisors is an integer number (410130).

Almost surely, 220900000 is an apocalyptic number.

20900000 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 20900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29529360).

20900000 is an abundant number, since it is smaller than the sum of its proper divisors (38158720).

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

20900000 is an equidigital number, since it uses as much as digits as its factorization.

20900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 20900000 is about 4571.6517802650. The cubic root of 20900000 is about 275.4537962027.

Adding to 20900000 its reverse (902), we get a palindrome (20900902).

The spelling of 20900000 in words is "twenty million, nine hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 76 80 88 95 100 110 125 152 160 176 190 200 209 220 250 275 304 352 380 400 418 440 475 500 550 608 625 760 800 836 880 950 1000 1045 1100 1250 1375 1520 1672 1760 1900 2000 2090 2200 2375 2500 2750 3040 3125 3344 3800 4000 4180 4400 4750 5000 5225 5500 6250 6688 6875 7600 8360 8800 9500 10000 10450 11000 11875 12500 13750 15200 16720 19000 20000 20900 22000 23750 25000 26125 27500 33440 34375 38000 41800 44000 47500 50000 52250 55000 59375 68750 76000 83600 95000 100000 104500 110000 118750 130625 137500 167200 190000 209000 220000 237500 261250 275000 380000 418000 475000 522500 550000 653125 836000 950000 1045000 1100000 1306250 1900000 2090000 2612500 4180000 5225000 10450000 20900000