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2700540027 = 337321372
BaseRepresentation
bin1010000011110110…
…1111100001111011
320222012112122111000
42200331233201323
521012314240102
61123545540043
7123631132353
oct24075574173
96865478430
102700540027
111166425769
126344a4623
133406454a3
141b8933b63
1510c14001c
hexa0f6f87b

2700540027 has 36 divisors (see below), whose sum is σ = 4086180840. Its totient is φ = 1762736256.

The previous prime is 2700539993. The next prime is 2700540061. The reversal of 2700540027 is 7200450072.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2700539993) and next prime (2700540061).

It is not a de Polignac number, because 2700540027 - 210 = 2700539003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2700540077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19711903 + ... + 19712039.

Almost surely, 22700540027 is an apocalyptic number.

2700540027 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2700540027 is a deficient number, since it is larger than the sum of its proper divisors (1385640813).

2700540027 is an frugal number, since it uses more digits than its factorization.

2700540027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2700540027 is about 51966.7203794890. The cubic root of 2700540027 is about 1392.5694803134.

Multiplying 2700540027 by its sum of digits (27), we get a square (72914580729 = 2700272).

2700540027 divided by its sum of digits (27) gives a palindrome (100020001).

Adding to 2700540027 its reverse (7200450072), we get a palindrome (9900990099).

The spelling of 2700540027 in words is "two billion, seven hundred million, five hundred forty thousand, twenty-seven".

Divisors: 1 3 9 27 73 137 219 411 657 1233 1971 3699 5329 10001 15987 18769 30003 47961 56307 90009 143883 168921 270027 506763 730073 1370137 2190219 4110411 6570657 12331233 19711971 36993699 100020001 300060003 900180009 2700540027