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27056000 = 27531989
BaseRepresentation
bin110011100110…
…1011110000000
31212220120212002
41213031132000
523411243000
62403523132
7445654316
oct147153600
955816762
1027056000
11142aa634
1290894a8
1357b3c8a
1438440b6
1525968d5
hex19cd780

27056000 has 128 divisors (see below), whose sum is σ = 71604000. Its totient is φ = 10137600.

The previous prime is 27055997. The next prime is 27056011. The reversal of 27056000 is 65072.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 303956 + ... + 304044.

Almost surely, 227056000 is an apocalyptic number.

27056000 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 27056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35802000).

27056000 is an abundant number, since it is smaller than the sum of its proper divisors (44548000).

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

27056000 is an equidigital number, since it uses as much as digits as its factorization.

27056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 27056000 is about 5201.5382340227. The cubic root of 27056000 is about 300.2072641796.

The spelling of 27056000 in words is "twenty-seven million, fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 89 95 100 125 128 152 160 178 190 200 250 304 320 356 380 400 445 475 500 608 640 712 760 800 890 950 1000 1216 1424 1520 1600 1691 1780 1900 2000 2225 2375 2432 2848 3040 3200 3382 3560 3800 4000 4450 4750 5696 6080 6764 7120 7600 8000 8455 8900 9500 11125 11392 12160 13528 14240 15200 16000 16910 17800 19000 22250 27056 28480 30400 33820 35600 38000 42275 44500 54112 56960 60800 67640 71200 76000 84550 89000 108224 135280 142400 152000 169100 178000 211375 216448 270560 284800 304000 338200 356000 422750 541120 676400 712000 845500 1082240 1352800 1424000 1691000 2705600 3382000 5411200 6764000 13528000 27056000