Search a number
-
+
27230720 = 29511967
BaseRepresentation
bin110011111100…
…0001000000000
31220020110112012
41213320020000
523432340340
62411352052
7450312566
oct147701000
956213465
1027230720
1114409930
129152628
13584566a
14388ba36
1525cd565
hex19f8200

27230720 has 80 divisors (see below), whose sum is σ = 71299008. Its totient is φ = 9891840.

The previous prime is 27230717. The next prime is 27230759. The reversal of 27230720 is 2703272.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×272307202 = 1483024223436800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27677 + ... + 28643.

Almost surely, 227230720 is an apocalyptic number.

27230720 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 27230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35649504).

27230720 is an abundant number, since it is smaller than the sum of its proper divisors (44068288).

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

27230720 is an equidigital number, since it uses as much as digits as its factorization.

27230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 27230720 is about 5218.3062386180. The cubic root of 27230720 is about 300.8520960018.

Adding to 27230720 its reverse (2703272), we get a palindrome (29933992).

The spelling of 27230720 in words is "twenty-seven million, two hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 967 1280 1408 1760 1934 2560 2816 3520 3868 4835 5632 7040 7736 9670 10637 14080 15472 19340 21274 28160 30944 38680 42548 53185 61888 77360 85096 106370 123776 154720 170192 212740 247552 309440 340384 425480 495104 618880 680768 850960 1237760 1361536 1701920 2475520 2723072 3403840 5446144 6807680 13615360 27230720