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20021280 = 253553787
BaseRepresentation
bin100110001100…
…0000000100000
31101200012000220
41030120000200
520111140110
61553043040
7332115036
oct114300040
941605026
1020021280
1110335314
126856480
1341c0016
142932556
151b57370
hex1318020

20021280 has 96 divisors (see below), whose sum is σ = 64338624. Its totient is φ = 5231616.

The previous prime is 20021263. The next prime is 20021297. The reversal of 20021280 is 8212002.

It is an interprime number because it is at equal distance from previous prime (20021263) and next prime (20021297).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 25047 + ... + 25833.

It is an arithmetic number, because the mean of its divisors is an integer number (670194).

Almost surely, 220021280 is an apocalyptic number.

20021280 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 20021280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32169312).

20021280 is an abundant number, since it is smaller than the sum of its proper divisors (44317344).

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

20021280 is a wasteful number, since it uses less digits than its factorization.

20021280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20021280 is about 4474.5144988032. The cubic root of 20021280 is about 271.5379988802.

Adding to 20021280 its reverse (8212002), we get a palindrome (28233282).

It can be divided in two parts, 20021 and 280, that added together give a triangular number (20301 = T201).

The spelling of 20021280 in words is "twenty million, twenty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 787 795 848 1060 1272 1574 1590 1696 2120 2361 2544 3148 3180 3935 4240 4722 5088 6296 6360 7870 8480 9444 11805 12592 12720 15740 18888 23610 25184 25440 31480 37776 41711 47220 62960 75552 83422 94440 125133 125920 166844 188880 208555 250266 333688 377760 417110 500532 625665 667376 834220 1001064 1251330 1334752 1668440 2002128 2502660 3336880 4004256 5005320 6673760 10010640 20021280