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27006984 = 2332375097
BaseRepresentation
bin110011100000…
…1100000001000
31212211002121200
41213001200020
523403210414
62402504200
7445361364
oct147014010
955732550
1027006984
1114276824
129065060
135797884
1438302a4
152587109
hex19c1808

27006984 has 24 divisors (see below), whose sum is σ = 73144110. Its totient is φ = 9002304.

The previous prime is 27006979. The next prime is 27006997. The reversal of 27006984 is 48960072.

It can be written as a sum of positive squares in only one way, i.e., 19554084 + 7452900 = 4422^2 + 2730^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 187477 + ... + 187620.

Almost surely, 227006984 is an apocalyptic number.

27006984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27006984 is an abundant number, since it is smaller than the sum of its proper divisors (46137126).

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

27006984 is a wasteful number, since it uses less digits than its factorization.

27006984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375109 (or 375102 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 27006984 is about 5196.8244149673. The cubic root of 27006984 is about 300.0258644367.

The spelling of 27006984 in words is "twenty-seven million, six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 375097 750194 1125291 1500388 2250582 3000776 3375873 4501164 6751746 9002328 13503492 27006984