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27104080 = 2451372473
BaseRepresentation
bin110011101100…
…1001101010000
31220000000210211
41213121031100
523414312310
62404533504
7446244433
oct147311520
956000724
1027104080
1114332773
1290b1294
1357ccb23
14385781a
1525a5c8a
hex19d9350

27104080 has 40 divisors (see below), whose sum is σ = 63502632. Its totient is φ = 10758144.

The previous prime is 27104053. The next prime is 27104081. The reversal of 27104080 is 8040172.

It can be written as a sum of positive squares in 4 ways, for example, as 6091024 + 21013056 = 2468^2 + 4584^2 .

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 (27104081) 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, 9724 + ... + 12196.

Almost surely, 227104080 is an apocalyptic number.

27104080 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 27104080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31751316).

27104080 is an abundant number, since it is smaller than the sum of its proper divisors (36398552).

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

27104080 is a wasteful number, since it uses less digits than its factorization.

27104080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 27104080 is about 5206.1578923425. The cubic root of 27104080 is about 300.3849872196.

The spelling of 27104080 in words is "twenty-seven million, one hundred four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2473 2740 4946 5480 9892 10960 12365 19784 24730 39568 49460 98920 197840 338801 677602 1355204 1694005 2710408 3388010 5420816 6776020 13552040 27104080