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27330640 = 245675099
BaseRepresentation
bin110100001000…
…0100001010000
31220102112120221
41220100201100
523444040030
62413442424
7451210111
oct150204120
956375527
1027330640
1114477a07
1291a0414
13587bc9c
1438b6208
1525ece7a
hex1a10850

27330640 has 40 divisors (see below), whose sum is σ = 64504800. Its totient is φ = 10766976.

The previous prime is 27330617. The next prime is 27330643. The reversal of 27330640 is 4603372.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27330643) 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, 2811 + ... + 7909.

It is an arithmetic number, because the mean of its divisors is an integer number (1612620).

Almost surely, 227330640 is an apocalyptic number.

27330640 is a gapful number since it is divisible by the number (20) 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 27330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32252400).

27330640 is an abundant number, since it is smaller than the sum of its proper divisors (37174160).

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

27330640 is a wasteful number, since it uses less digits than its factorization.

27330640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 27330640 is about 5227.8714597817. The cubic root of 27330640 is about 301.2196275687.

The spelling of 27330640 in words is "twenty-seven million, three hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5099 5360 10198 20396 25495 40792 50990 81584 101980 203960 341633 407920 683266 1366532 1708165 2733064 3416330 5466128 6832660 13665320 27330640