Search a number
-
+
20002080 = 253575953
BaseRepresentation
bin100110001001…
…1010100100000
31101122012200210
41030103110200
520110031310
61552414120
7332005050
oct114232440
941565623
1020002080
111032194a
126847340
1341b4367
142929560
151b51820
hex1313520

20002080 has 96 divisors (see below), whose sum is σ = 72019584. Its totient is φ = 4571136.

The previous prime is 20002067. The next prime is 20002097. The reversal of 20002080 is 8020002.

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 (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 384 + ... + 6336.

It is an arithmetic number, because the mean of its divisors is an integer number (750204).

Almost surely, 220002080 is an apocalyptic number.

20002080 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 20002080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36009792).

20002080 is an abundant number, since it is smaller than the sum of its proper divisors (52017504).

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

20002080 is a wasteful number, since it uses less digits than its factorization.

20002080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20002080 is about 4472.3685000232. The cubic root of 20002080 is about 271.4511713144.

Adding to 20002080 its reverse (8020002), we get a palindrome (28022082).

The spelling of 20002080 in words is "twenty million, two thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 5953 11906 17859 23812 29765 35718 41671 47624 59530 71436 83342 89295 95248 119060 125013 142872 166684 178590 190496 208355 238120 250026 285744 333368 357180 416710 476240 500052 571488 625065 666736 714360 833420 952480 1000104 1250130 1333472 1428720 1666840 2000208 2500260 2857440 3333680 4000416 5000520 6667360 10001040 20002080