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27116124 = 22371671933
BaseRepresentation
bin110011101110…
…0001001011100
31220000122022220
41213130021130
523420203444
62405105340
7446324520
oct147341134
956018286
1027116124
1114340822
1290b8250
135805459
14385bd80
1525a9619
hex19dc25c

27116124 has 48 divisors (see below), whose sum is σ = 72780288. Its totient is φ = 7697088.

The previous prime is 27116123. The next prime is 27116161. The reversal of 27116124 is 42161172.

27116124 = T42 + T43 + ... + T545.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 27116094 and 27116103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27116123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13062 + ... + 14994.

It is an arithmetic number, because the mean of its divisors is an integer number (1516256).

Almost surely, 227116124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27116124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36390144).

27116124 is an abundant number, since it is smaller than the sum of its proper divisors (45664164).

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

27116124 is a wasteful number, since it uses less digits than its factorization.

27116124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2112 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 27116124 is about 5207.3144710109. The cubic root of 27116124 is about 300.4294737698.

Adding to 27116124 its reverse (42161172), we get a palindrome (69277296).

The spelling of 27116124 in words is "twenty-seven million, one hundred sixteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 167 334 501 668 1002 1169 1933 2004 2338 3507 3866 4676 5799 7014 7732 11598 13531 14028 23196 27062 40593 54124 81186 162372 322811 645622 968433 1291244 1936866 2259677 3873732 4519354 6779031 9038708 13558062 27116124