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27706104 = 23331943157
BaseRepresentation
bin110100110110…
…0001011111000
31221010121122000
41221230023320
524043043404
62425501000
7454332546
oct151541370
957117560
1027706104
1114704008
129341760
135980b5a
143972d96
152674339
hex1a6c2f8

27706104 has 128 divisors (see below), whose sum is σ = 83424000. Its totient is φ = 8491392.

The previous prime is 27706087. The next prime is 27706109. The reversal of 27706104 is 40160772.

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 (27706109) 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 31 ways as a sum of consecutive naturals, for example, 176394 + ... + 176550.

It is an arithmetic number, because the mean of its divisors is an integer number (651750).

Almost surely, 227706104 is an apocalyptic number.

27706104 is a gapful number since it is divisible by the number (24) 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 27706104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41712000).

27706104 is an abundant number, since it is smaller than the sum of its proper divisors (55717896).

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

27706104 is a wasteful number, since it uses less digits than its factorization.

27706104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

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

The square root of 27706104 is about 5263.6588035320. The cubic root of 27706104 is about 302.5927279870.

Adding to 27706104 its reverse (40160772), we get a palindrome (67866876).

The spelling of 27706104 in words is "twenty-seven million, seven hundred six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 43 54 57 72 76 86 108 114 129 152 157 171 172 216 228 258 314 342 344 387 456 471 513 516 628 684 774 817 942 1026 1032 1161 1256 1368 1413 1548 1634 1884 2052 2322 2451 2826 2983 3096 3268 3768 4104 4239 4644 4902 5652 5966 6536 6751 7353 8478 8949 9288 9804 11304 11932 13502 14706 16956 17898 19608 20253 22059 23864 26847 27004 29412 33912 35796 40506 44118 53694 54008 58824 60759 71592 80541 81012 88236 107388 121518 128269 161082 162024 176472 182277 214776 243036 256538 322164 364554 384807 486072 513076 644328 729108 769614 1026152 1154421 1458216 1539228 2308842 3078456 3463263 4617684 6926526 9235368 13853052 27706104