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27440080 = 245714831
BaseRepresentation
bin110100010101…
…1001111010000
31220122002201021
41220223033100
524011040310
62420045224
7452144143
oct150531720
956562637
1027440080
1114542158
129233814
1358b9a45
14390405a
1526205da
hex1a2b3d0

27440080 has 40 divisors (see below), whose sum is σ = 64710144. Its totient is φ = 10819200.

The previous prime is 27440069. The next prime is 27440087. The reversal of 27440080 is 8004472.

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 (27440087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3265 + ... + 8095.

Almost surely, 227440080 is an apocalyptic number.

27440080 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 27440080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32355072).

27440080 is an abundant number, since it is smaller than the sum of its proper divisors (37270064).

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

27440080 is a wasteful number, since it uses less digits than its factorization.

27440080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4915 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 27440080 is about 5238.3279775134. The cubic root of 27440080 is about 301.6211497245.

It can be divided in two parts, 274400 and 80, that multiplied together give a cube (21952000 = 2803).

The spelling of 27440080 in words is "twenty-seven million, four hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 4831 5680 9662 19324 24155 38648 48310 77296 96620 193240 343001 386480 686002 1372004 1715005 2744008 3430010 5488016 6860020 13720040 27440080