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27329104 = 2411315009
BaseRepresentation
bin110100001000…
…0001001010000
31220102110111001
41220100021100
523444012404
62413431344
7451202455
oct150201120
956373431
1027329104
1114476840
12919b554
13587b38a
1438b582c
1525ec7a4
hex1a10250

27329104 has 40 divisors (see below), whose sum is σ = 59639040. Its totient is φ = 12019200.

The previous prime is 27329101. The next prime is 27329111. The reversal of 27329104 is 40192372.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27329101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2952 + ... + 7960.

It is an arithmetic number, because the mean of its divisors is an integer number (1490976).

Almost surely, 227329104 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 27329104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29819520).

27329104 is an abundant number, since it is smaller than the sum of its proper divisors (32309936).

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

27329104 is a wasteful number, since it uses less digits than its factorization.

27329104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 27329104 is about 5227.7245528050. The cubic root of 27329104 is about 301.2139845490.

The spelling of 27329104 in words is "twenty-seven million, three hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 5009 5456 10018 20036 40072 55099 80144 110198 155279 220396 310558 440792 621116 881584 1242232 1708069 2484464 3416138 6832276 13664552 27329104