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27053440 = 275411031
BaseRepresentation
bin110011100110…
…0110110000000
31212220110100021
41213030312000
523411202230
62403503224
7445644001
oct147146600
955813307
1027053440
11142a8717
129087b14
1357b2a6b
1438431a8
152595c7a
hex19ccd80

27053440 has 64 divisors (see below), whose sum is σ = 66316320. Its totient is φ = 10547200.

The previous prime is 27053423. The next prime is 27053489. The reversal of 27053440 is 4435072.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25725 + ... + 26755.

Almost surely, 227053440 is an apocalyptic number.

27053440 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 27053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33158160).

27053440 is an abundant number, since it is smaller than the sum of its proper divisors (39262880).

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

27053440 is a wasteful number, since it uses less digits than its factorization.

27053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 27053440 is about 5201.2921471496. The cubic root of 27053440 is about 300.1977954871.

The spelling of 27053440 in words is "twenty-seven million, fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 320 328 410 640 656 820 1031 1312 1640 2062 2624 3280 4124 5155 5248 6560 8248 10310 13120 16496 20620 26240 32992 41240 42271 65984 82480 84542 131968 164960 169084 211355 329920 338168 422710 659840 676336 845420 1352672 1690840 2705344 3381680 5410688 6763360 13526720 27053440