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27706168 = 237323439
BaseRepresentation
bin110100110110…
…0001100111000
31221010121201101
41221230030320
524043044133
62425501144
7454333000
oct151541470
957117641
1027706168
1114704066
1293417b4
135980ba9
143973000
15267437d
hex1a6c338

27706168 has 64 divisors (see below), whose sum is σ = 63360000. Its totient is φ = 11331936.

The previous prime is 27706109. The next prime is 27706177. The reversal of 27706168 is 86160772.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62893 + ... + 63331.

It is an arithmetic number, because the mean of its divisors is an integer number (990000).

Almost surely, 227706168 is an apocalyptic number.

27706168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27706168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31680000).

27706168 is an abundant number, since it is smaller than the sum of its proper divisors (35653832).

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

27706168 is a wasteful number, since it uses less digits than its factorization.

27706168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 27706168 is about 5263.6648829499. The cubic root of 27706168 is about 302.5929609792.

The spelling of 27706168 in words is "twenty-seven million, seven hundred six thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 343 392 439 644 686 878 1127 1288 1372 1756 2254 2744 3073 3512 4508 6146 7889 9016 10097 12292 15778 20194 21511 24584 31556 40388 43022 63112 70679 80776 86044 141358 150577 172088 282716 301154 494753 565432 602308 989506 1204616 1979012 3463271 3958024 6926542 13853084 27706168