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27090630 = 2325726143
BaseRepresentation
bin110011101010…
…1111011000110
31212222100100200
41213111323012
523413400010
62404351330
7446160300
oct147257306
955870320
1027090630
1114323656
1290a5546
1357c6978
143852970
1525a1cc0
hex19d5ec6

27090630 has 72 divisors (see below), whose sum is σ = 81948672. Its totient is φ = 6191136.

The previous prime is 27090629. The next prime is 27090631. The reversal of 27090630 is 3609072.

27090630 is a `hidden beast` number, since 27 + 0 + 9 + 0 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (27090629) and next prime (27090631).

It is a junction number, because it is equal to n+sod(n) for n = 27090594 and 27090603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27090631) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1339 + ... + 7481.

It is an arithmetic number, because the mean of its divisors is an integer number (1138176).

Almost surely, 227090630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27090630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40974336).

27090630 is an abundant number, since it is smaller than the sum of its proper divisors (54858042).

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

27090630 is a wasteful number, since it uses less digits than its factorization.

27090630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 27090630 is about 5204.8659925112. The cubic root of 27090630 is about 300.3352917918.

The spelling of 27090630 in words is "twenty-seven million, ninety thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 6143 12286 18429 30715 36858 43001 55287 61430 86002 92145 110574 129003 184290 215005 258006 276435 301007 387009 430010 552870 602014 645015 774018 903021 1290030 1505035 1806042 1935045 2709063 3010070 3870090 4515105 5418126 9030210 13545315 27090630