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27131973 = 3112335747
BaseRepresentation
bin110011110000…
…0000001000101
31220001110001220
41213200001011
523421210343
62405310553
7446421651
oct147400105
956043056
1027131973
1114351720
129105459
13580c72b
143863a61
1525ae183
hex19e0045

27131973 has 16 divisors (see below), whose sum is σ = 41181696. Its totient is φ = 15728240.

The previous prime is 27131971. The next prime is 27131977. The reversal of 27131973 is 37913172.

It is a happy number.

It is not a de Polignac number, because 27131973 - 21 = 27131971 is a prime.

It is a super-2 number, since 2×271319732 = 1472287917745458, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27131971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17115 + ... + 18632.

It is an arithmetic number, because the mean of its divisors is an integer number (2573856).

Almost surely, 227131973 is an apocalyptic number.

27131973 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

27131973 is a deficient number, since it is larger than the sum of its proper divisors (14049723).

27131973 is a wasteful number, since it uses less digits than its factorization.

27131973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35784.

The product of its digits is 7938, while the sum is 33.

The square root of 27131973 is about 5208.8360504051. The cubic root of 27131973 is about 300.4879946625.

The spelling of 27131973 in words is "twenty-seven million, one hundred thirty-one thousand, nine hundred seventy-three".

Divisors: 1 3 11 23 33 69 253 759 35747 107241 393217 822181 1179651 2466543 9043991 27131973