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27116264 = 2372337569
BaseRepresentation
bin110011101110…
…0001011101000
31220000122112002
41213130023220
523420210024
62405110132
7446325110
oct147341350
956018462
1027116264
111434093a
1290b8348
135805536
14385c040
1525a96ae
hex19dc2e8

27116264 has 64 divisors (see below), whose sum is σ = 62380800. Its totient is φ = 10796544.

The previous prime is 27116263. The next prime is 27116267. The reversal of 27116264 is 46261172.

It is not an unprimeable number, because it can be changed into a prime (27116263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47372 + ... + 47940.

It is an arithmetic number, because the mean of its divisors is an integer number (974700).

Almost surely, 227116264 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 27116264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31190400).

27116264 is an abundant number, since it is smaller than the sum of its proper divisors (35264536).

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

27116264 is a wasteful number, since it uses less digits than its factorization.

27116264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 638 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 27116264 is about 5207.3279136233. The cubic root of 27116264 is about 300.4299908060.

The spelling of 27116264 in words is "twenty-seven million, one hundred sixteen thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 23 28 37 46 56 74 92 148 161 184 259 296 322 518 569 644 851 1036 1138 1288 1702 2072 2276 3404 3983 4552 5957 6808 7966 11914 13087 15932 21053 23828 26174 31864 42106 47656 52348 84212 91609 104696 147371 168424 183218 294742 366436 484219 589484 732872 968438 1178968 1936876 3389533 3873752 6779066 13558132 27116264