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27381016 = 2313172911
BaseRepresentation
bin110100001110…
…0110100011000
31220112002200201
41220130310120
524002143031
62414511544
7451510015
oct150346430
956462621
1027381016
1114501843
1292055b4
135898bb0
1438ca70c
15260cd61
hex1a1cd18

27381016 has 48 divisors (see below), whose sum is σ = 58796640. Its totient is φ = 11880960.

The previous prime is 27380993. The next prime is 27381031. The reversal of 27381016 is 61018372.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 29601 + ... + 30511.

It is an arithmetic number, because the mean of its divisors is an integer number (1224930).

Almost surely, 227381016 is an apocalyptic number.

27381016 is a gapful number since it is divisible by the number (26) 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 27381016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29398320).

27381016 is an abundant number, since it is smaller than the sum of its proper divisors (31415624).

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

27381016 is a wasteful number, since it uses less digits than its factorization.

27381016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 27381016 is about 5232.6872637298. The cubic root of 27381016 is about 301.4045839206.

Adding to 27381016 its reverse (61018372), we get a palindrome (88399388).

The spelling of 27381016 in words is "twenty-seven million, three hundred eighty-one thousand, sixteen".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 289 442 578 884 911 1156 1768 1822 2312 3644 3757 7288 7514 11843 15028 15487 23686 30056 30974 47372 61948 94744 123896 201331 263279 402662 526558 805324 1053116 1610648 2106232 3422627 6845254 13690508 27381016