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27630036 = 22327831321
BaseRepresentation
bin110100101100…
…1100111010100
31220222202021200
41221121213110
524033130121
62424112500
7453565020
oct151314724
956882250
1027630036
1114661945
129305730
135955345
143953380
15265ba26
hex1a599d4

27630036 has 72 divisors (see below), whose sum is σ = 80842944. Its totient is φ = 7793280.

The previous prime is 27630019. The next prime is 27630067. The reversal of 27630036 is 63003672.

27630036 is a `hidden beast` number, since 27 + 630 + 0 + 3 + 6 = 666.

It is a super-2 number, since 2×276300362 = 1526837778722592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27629991 and 27630009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20256 + ... + 21576.

Almost surely, 227630036 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 27630036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40421472).

27630036 is an abundant number, since it is smaller than the sum of its proper divisors (53212908).

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

27630036 is a wasteful number, since it uses less digits than its factorization.

27630036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 27630036 is about 5256.4280647603. The cubic root of 27630036 is about 302.3155481397.

The spelling of 27630036 in words is "twenty-seven million, six hundred thirty thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 252 332 498 581 747 996 1162 1321 1494 1743 2324 2642 2988 3486 3963 5229 5284 6972 7926 9247 10458 11889 15852 18494 20916 23778 27741 36988 47556 55482 83223 109643 110964 166446 219286 328929 332892 438572 657858 767501 986787 1315716 1535002 1973574 2302503 3070004 3947148 4605006 6907509 9210012 13815018 27630036