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27941004 = 22337132843
BaseRepresentation
bin110101010010…
…1100010001100
31221120112212000
41222211202030
524123103004
62434512300
7456331440
oct152454214
957515760
1027941004
1114854543
129435690
135a33a50
1439d4820
1526bdc39
hex1aa588c

27941004 has 96 divisors (see below), whose sum is σ = 89187840. Its totient is φ = 7366464.

The previous prime is 27940973. The next prime is 27941029. The reversal of 27941004 is 40014972.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8407 + ... + 11249.

It is an arithmetic number, because the mean of its divisors is an integer number (929040).

Almost surely, 227941004 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 27941004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44593920).

27941004 is an abundant number, since it is smaller than the sum of its proper divisors (61246836).

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

27941004 is a wasteful number, since it uses less digits than its factorization.

27941004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 27941004 is about 5285.9250845997. The cubic root of 27941004 is about 303.4454774601.

Adding to 27941004 its reverse (40014972), we get a palindrome (67955976).

The spelling of 27941004 in words is "twenty-seven million, nine hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 2843 3276 4914 5686 8529 9828 11372 17058 19901 25587 34116 36959 39802 51174 59703 73918 76761 79604 102348 110877 119406 147836 153522 179109 221754 238812 258713 307044 332631 358218 443508 517426 537327 665262 716436 776139 997893 1034852 1074654 1330524 1552278 1995786 2149308 2328417 3104556 3991572 4656834 6985251 9313668 13970502 27941004