[go: up one dir, main page]

Search a number
-
+
27339768 = 2334311361
BaseRepresentation
bin110100001001…
…0101111111000
31220110000010000
41220102233320
523444333033
62413553000
7451245531
oct150225770
956400100
1027339768
1114483855
1291a5760
1358831a1
1438b9688
152600a13
hex1a12bf8

27339768 has 80 divisors (see below), whose sum is σ = 79104960. Its totient is φ = 8812800.

The previous prime is 27339731. The next prime is 27339769. The reversal of 27339768 is 86793372.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27339769) 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 19 ways as a sum of consecutive naturals, for example, 19408 + ... + 20768.

It is an arithmetic number, because the mean of its divisors is an integer number (988812).

Almost surely, 227339768 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 27339768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39552480).

27339768 is an abundant number, since it is smaller than the sum of its proper divisors (51765192).

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

27339768 is a wasteful number, since it uses less digits than its factorization.

27339768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1397 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 27339768 is about 5228.7443999492. The cubic root of 27339768 is about 301.2531580278.

The spelling of 27339768 in words is "twenty-seven million, three hundred thirty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1361 1674 2232 2511 2722 3348 4083 5022 5444 6696 8166 10044 10888 12249 16332 20088 24498 32664 36747 42191 48996 73494 84382 97992 110241 126573 146988 168764 220482 253146 293976 337528 379719 440964 506292 759438 881928 1012584 1139157 1518876 2278314 3037752 3417471 4556628 6834942 9113256 13669884 27339768