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27002000 = 245323587
BaseRepresentation
bin110011100000…
…0010010010000
31212210211210002
41213000102100
523403031000
62402425132
7445341014
oct147002220
955724702
1027002000
1114273003
1290621a8
13579551c
14382c544
1525858d5
hex19c0490

27002000 has 80 divisors (see below), whose sum is σ = 68245632. Its totient is φ = 10313600.

The previous prime is 27001991. The next prime is 27002033. The reversal of 27002000 is 20072.

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, 45707 + ... + 46293.

Almost surely, 227002000 is an apocalyptic number.

27002000 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 27002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34122816).

27002000 is an abundant number, since it is smaller than the sum of its proper divisors (41243632).

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

27002000 is a wasteful number, since it uses less digits than its factorization.

27002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 27002000 is about 5196.3448692326. The cubic root of 27002000 is about 300.0074072245.

Adding to 27002000 its reverse (20072), we get a palindrome (27022072).

The spelling of 27002000 in words is "twenty-seven million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 587 920 1000 1150 1174 1840 2000 2300 2348 2875 2935 4600 4696 5750 5870 9200 9392 11500 11740 13501 14675 23000 23480 27002 29350 46000 46960 54004 58700 67505 73375 108008 117400 135010 146750 216016 234800 270020 293500 337525 540040 587000 675050 1080080 1174000 1350100 1687625 2700200 3375250 5400400 6750500 13501000 27002000