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128868084 = 22344189109
BaseRepresentation
bin1111010111001…
…01111011110100
322222111011210000
413223211323310
5230442234314
620442031300
73123234462
oct753457364
9288434700
10128868084
1166819554
12371a8530
1320910507
1413187832
15b4a8209
hex7ae5ef4

128868084 has 120 divisors (see below), whose sum is σ = 352182600. Its totient is φ = 41057280.

The previous prime is 128868071. The next prime is 128868101. The reversal of 128868084 is 480868821.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 272484 + 128595600 = 522^2 + 11340^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1182222 + ... + 1182330.

It is an arithmetic number, because the mean of its divisors is an integer number (2934855).

Almost surely, 2128868084 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 128868084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176091300).

128868084 is an abundant number, since it is smaller than the sum of its proper divisors (223314516).

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

128868084 is a wasteful number, since it uses less digits than its factorization.

128868084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 128868084 is about 11352.0079281156. The cubic root of 128868084 is about 505.1051429604.

The spelling of 128868084 in words is "one hundred twenty-eight million, eight hundred sixty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 89 108 109 123 162 164 178 218 246 267 324 327 356 369 436 492 534 654 738 801 981 1068 1107 1308 1476 1602 1962 2214 2403 2943 3204 3321 3649 3924 4428 4469 4806 5886 6642 7209 7298 8829 8938 9612 9701 10947 11772 13284 13407 14418 14596 17658 17876 19402 21894 26814 28836 29103 32841 35316 38804 40221 43788 53628 58206 65682 80442 87309 98523 116412 120663 131364 160884 174618 197046 241326 261927 295569 349236 361989 394092 397741 482652 523854 591138 723978 785781 795482 1047708 1182276 1193223 1447956 1571562 1590964 2386446 3143124 3579669 4772892 7159338 10739007 14318676 21478014 32217021 42956028 64434042 128868084