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27004080 = 2435373041
BaseRepresentation
bin110011100000…
…0110010110000
31212210221122010
41213000302300
523403112310
62402442520
7445350045
oct147006260
955727563
1027004080
1114274624
129063440
13579645c
14382d1cc
152586320
hex19c0cb0

27004080 has 80 divisors (see below), whose sum is σ = 86003424. Its totient is φ = 7004160.

The previous prime is 27004079. The next prime is 27004091. The reversal of 27004080 is 8040072.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7360 + ... + 10400.

Almost surely, 227004080 is an apocalyptic number.

27004080 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 27004080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43001712).

27004080 is an abundant number, since it is smaller than the sum of its proper divisors (58999344).

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

27004080 is a wasteful number, since it uses less digits than its factorization.

27004080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 27004080 is about 5196.5450060593. The cubic root of 27004080 is about 300.0151103500.

The spelling of 27004080 in words is "twenty-seven million, four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 3041 4440 6082 8880 9123 12164 15205 18246 24328 30410 36492 45615 48656 60820 72984 91230 112517 121640 145968 182460 225034 243280 337551 364920 450068 562585 675102 729840 900136 1125170 1350204 1687755 1800272 2250340 2700408 3375510 4500680 5400816 6751020 9001360 13502040 27004080