Search a number
-
+
20012160 = 273571489
BaseRepresentation
bin100110001010…
…1110010000000
31101122201112010
41030111302000
520110342120
61552532520
7332046330
oct114256200
941581463
1020012160
1110329483
126851140
1341b8b1c
14292d0c0
151b547e0
hex1315c80

20012160 has 128 divisors (see below), whose sum is σ = 72950400. Its totient is φ = 4571136.

The previous prime is 20012119. The next prime is 20012171. The reversal of 20012160 is 6121002.

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 (12).

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, 12696 + ... + 14184.

It is an arithmetic number, because the mean of its divisors is an integer number (569925).

Almost surely, 220012160 is an apocalyptic number.

20012160 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 20012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36475200).

20012160 is an abundant number, since it is smaller than the sum of its proper divisors (52938240).

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

20012160 is a wasteful number, since it uses less digits than its factorization.

20012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 20012160 is about 4473.4952777442. The cubic root of 20012160 is about 271.4967627111.

Adding to 20012160 its reverse (6121002), we get a palindrome (26133162).

The spelling of 20012160 in words is "twenty million, twelve thousand, one hundred sixty".

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 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1489 1680 1920 2240 2688 2978 3360 4467 4480 5956 6720 7445 8934 10423 11912 13440 14890 17868 20846 22335 23824 29780 31269 35736 41692 44670 47648 52115 59560 62538 71472 83384 89340 95296 104230 119120 125076 142944 156345 166768 178680 190592 208460 238240 250152 285888 312690 333536 357360 416920 476480 500304 571776 625380 667072 714720 833840 952960 1000608 1250760 1334144 1429440 1667680 2001216 2501520 2858880 3335360 4002432 5003040 6670720 10006080 20012160