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27117342 = 23672657
BaseRepresentation
bin110011101110…
…0011100011110
31220000201000000
41213130130132
523420223332
62405115130
7446331210
oct147343436
956021000
1027117342
111434172a
1290b8aa6
135805b85
14385c5b0
1525a9b7c
hex19dc71e

27117342 has 56 divisors (see below), whose sum is σ = 69724656. Its totient is φ = 7744896.

The previous prime is 27117341. The next prime is 27117353. The reversal of 27117342 is 24371172.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27117341) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8878 + ... + 11534.

Almost surely, 227117342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27117342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34862328).

27117342 is an abundant number, since it is smaller than the sum of its proper divisors (42607314).

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

27117342 is an equidigital number, since it uses as much as digits as its factorization.

27117342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2669 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 27117342 is about 5207.4314205758. The cubic root of 27117342 is about 300.4339719252.

The spelling of 27117342 in words is "twenty-seven million, one hundred seventeen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 2657 3402 5103 5314 7971 10206 15942 18599 23913 37198 47826 55797 71739 111594 143478 167391 215217 334782 430434 502173 645651 1004346 1291302 1506519 1936953 3013038 3873906 4519557 9039114 13558671 27117342