Search a number
-
+
7102080 = 27345137
BaseRepresentation
bin11011000101111010000000
3111100211020000
4123011322000
53304231310
6412120000
7114236526
oct33057200
914324200
107102080
114010997
122466000
13161881b
14d2c316
159544c0
hex6c5e80

7102080 has 160 divisors (see below), whose sum is σ = 25547940. Its totient is φ = 1880064.

The previous prime is 7102079. The next prime is 7102091. The reversal of 7102080 is 802017.

It can be written as a sum of positive squares in 2 ways, for example, as 7096896 + 5184 = 2664^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51772 + ... + 51908.

Almost surely, 27102080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12773970).

7102080 is an abundant number, since it is smaller than the sum of its proper divisors (18445860).

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

7102080 is a wasteful number, since it uses less digits than its factorization.

7102080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 7102080 is about 2664.9727953583. The cubic root of 7102080 is about 192.2185012453.

Adding to 7102080 its reverse (802017), we get a palindrome (7904097).

The spelling of 7102080 in words is "seven million, one hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 137 144 160 162 180 192 216 240 270 274 288 320 324 360 384 405 411 432 480 540 548 576 640 648 685 720 810 822 864 960 1080 1096 1152 1233 1296 1370 1440 1620 1644 1728 1920 2055 2160 2192 2466 2592 2740 2880 3240 3288 3456 3699 4110 4320 4384 4932 5184 5480 5760 6165 6480 6576 7398 8220 8640 8768 9864 10368 10960 11097 12330 12960 13152 14796 16440 17280 17536 18495 19728 21920 22194 24660 25920 26304 29592 32880 36990 39456 43840 44388 49320 51840 52608 55485 59184 65760 73980 78912 87680 88776 98640 110970 118368 131520 147960 157824 177552 197280 221940 236736 263040 295920 355104 394560 443880 473472 591840 710208 789120 887760 1183680 1420416 1775520 2367360 3551040 7102080