Search a number
-
+
27021120 = 263574021
BaseRepresentation
bin110011100010…
…0111101000000
31212211211000020
41213010331000
523404133440
62403053440
7445450530
oct147047500
955754006
1027021120
1114286405
129071280
1357a1139
1438354c0
15258b3d0
hex19c4f40

27021120 has 112 divisors (see below), whose sum is σ = 98072448. Its totient is φ = 6174720.

The previous prime is 27021083. The next prime is 27021121. The reversal of 27021120 is 2112072.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a self number, because there is not a number n which added to its sum of digits gives 27021120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4710 + ... + 8730.

Almost surely, 227021120 is an apocalyptic number.

27021120 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 27021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49036224).

27021120 is an abundant number, since it is smaller than the sum of its proper divisors (71051328).

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

27021120 is a wasteful number, since it uses less digits than its factorization.

27021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 27021120 is about 5198.1842983873. The cubic root of 27021120 is about 300.0782018354.

Adding to 27021120 its reverse (2112072), we get a palindrome (29133192).

The spelling of 27021120 in words is "twenty-seven million, twenty-one thousand, one hundred twenty".

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 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 4021 6720 8042 12063 16084 20105 24126 28147 32168 40210 48252 56294 60315 64336 80420 84441 96504 112588 120630 128672 140735 160840 168882 193008 225176 241260 257344 281470 321680 337764 386016 422205 450352 482520 562940 643360 675528 772032 844410 900704 965040 1125880 1286720 1351056 1688820 1801408 1930080 2251760 2702112 3377640 3860160 4503520 5404224 6755280 9007040 13510560 27021120