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2728102104 = 2332713232029
BaseRepresentation
bin1010001010011011…
…1000100011011000
321001010101221112200
42202212320203120
521041343231404
61130412410200
7124414325310
oct24246704330
97033357480
102728102104
11117aa40542
12641776960
13346275900
141bc46a440
1510e786839
hexa29b88d8

2728102104 has 144 divisors (see below), whose sum is σ = 9143924400. Its totient is φ = 719476992.

The previous prime is 2728102103. The next prime is 2728102127. The reversal of 2728102104 is 4012018272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728102103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69162 + ... + 101190.

It is an arithmetic number, because the mean of its divisors is an integer number (63499475).

Almost surely, 22728102104 is an apocalyptic number.

2728102104 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 2728102104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571962200).

2728102104 is an abundant number, since it is smaller than the sum of its proper divisors (6415822296).

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

2728102104 is a wasteful number, since it uses less digits than its factorization.

2728102104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32074 (or 32054 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2728102104 is about 52231.2368607139. The cubic root of 2728102104 is about 1397.2910378027.

The spelling of 2728102104 in words is "two billion, seven hundred twenty-eight million, one hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 169 182 234 252 273 312 338 364 468 504 507 546 676 728 819 936 1014 1092 1183 1352 1521 1638 2028 2184 2366 3042 3276 3549 4056 4732 6084 6552 7098 9464 10647 12168 14196 21294 28392 32029 42588 64058 85176 96087 128116 192174 224203 256232 288261 384348 416377 448406 576522 672609 768696 832754 896812 1153044 1249131 1345218 1665508 1793624 2017827 2306088 2498262 2690436 2914639 3331016 3747393 4035654 4996524 5380872 5412901 5829278 7494786 8071308 8743917 9993048 10825802 11658556 14989572 16142616 16238703 17487834 21651604 23317112 26231751 29979144 32477406 34975668 37890307 43303208 48716109 52463502 64954812 69951336 75780614 97432218 104927004 113670921 129909624 151561228 194864436 209854008 227341842 303122456 341012763 389728872 454683684 682025526 909367368 1364051052 2728102104