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27270125 = 531741313
BaseRepresentation
bin110100000000…
…1101111101101
31220022110120122
41220001233231
523440121000
62412254325
7450535511
oct150015755
956273518
1027270125
11144364a3
1291713a5
13585a58c
14389c141
1525da085
hex1a01bed

27270125 has 32 divisors (see below), whose sum is σ = 37031904. Its totient is φ = 19968000.

The previous prime is 27270109. The next prime is 27270137. The reversal of 27270125 is 52107272.

27270125 = 1252 + 1262 + ... + 4372.

It can be written as a sum of positive squares in 16 ways, for example, as 27071209 + 198916 = 5203^2 + 446^2 .

It is not a de Polignac number, because 27270125 - 24 = 27270109 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27270094 and 27270103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86969 + ... + 87281.

It is an arithmetic number, because the mean of its divisors is an integer number (1157247).

Almost surely, 227270125 is an apocalyptic number.

27270125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27270125 is a deficient number, since it is larger than the sum of its proper divisors (9761779).

27270125 is a wasteful number, since it uses less digits than its factorization.

27270125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 27270125 is about 5222.0805240823. The cubic root of 27270125 is about 300.9971449640.

Adding to 27270125 its reverse (52107272), we get a palindrome (79377397).

The spelling of 27270125 in words is "twenty-seven million, two hundred seventy thousand, one hundred twenty-five".

Divisors: 1 5 17 25 41 85 125 205 313 425 697 1025 1565 2125 3485 5125 5321 7825 12833 17425 26605 39125 64165 87125 133025 218161 320825 665125 1090805 1604125 5454025 27270125