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20021120 = 275741109
BaseRepresentation
bin100110001011…
…1111110000000
31101200011210222
41030113332000
520111133440
61553042212
7332114420
oct114277600
941604728
1020021120
1110335189
126856368
1341bcc22
142932480
151b572b5
hex1317f80

20021120 has 128 divisors (see below), whose sum is σ = 56548800. Its totient is φ = 6635520.

The previous prime is 20021093. The next prime is 20021137. The reversal of 20021120 is 2112002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 20021098 and 20021107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183626 + ... + 183734.

Almost surely, 220021120 is an apocalyptic number.

20021120 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 20021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28274400).

20021120 is an abundant number, since it is smaller than the sum of its proper divisors (36527680).

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

20021120 is a wasteful number, since it uses less digits than its factorization.

20021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 20021120 is about 4474.4966197328. The cubic root of 20021120 is about 271.5372755466.

Adding to 20021120 its reverse (2112002), we get a palindrome (22133122).

The spelling of 20021120 in words is "twenty million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 109 112 128 140 160 164 205 218 224 280 287 320 328 410 436 448 545 560 574 640 656 763 820 872 896 1090 1120 1148 1312 1435 1526 1640 1744 2180 2240 2296 2624 2870 3052 3280 3488 3815 4360 4469 4480 4592 5248 5740 6104 6560 6976 7630 8720 8938 9184 11480 12208 13120 13952 15260 17440 17876 18368 22345 22960 24416 26240 30520 31283 34880 35752 36736 44690 45920 48832 61040 62566 69760 71504 89380 91840 97664 122080 125132 143008 156415 178760 183680 244160 250264 286016 312830 357520 488320 500528 572032 625660 715040 1001056 1251320 1430080 2002112 2502640 2860160 4004224 5005280 10010560 20021120