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26068128 = 2533741179
BaseRepresentation
bin110001101110…
…0010010100000
31211001101202020
41203130102200
523133140003
62330421440
7434401242
oct143342240
954041666
1026068128
1113795409
128891880
135529438
143668092
15244dd53
hex18dc4a0

26068128 has 96 divisors (see below), whose sum is σ = 72394560. Its totient is φ = 8202240.

The previous prime is 26068109. The next prime is 26068139. The reversal of 26068128 is 82186062.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145543 + ... + 145721.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 226068128 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 26068128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36197280).

26068128 is an abundant number, since it is smaller than the sum of its proper divisors (46326432).

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

26068128 is a wasteful number, since it uses less digits than its factorization.

26068128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 26068128 is about 5105.6956431029. The cubic root of 26068128 is about 296.5081362044.

The spelling of 26068128 in words is "twenty-six million, sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 41 48 74 82 96 111 123 148 164 179 222 246 296 328 358 444 492 537 592 656 716 888 984 1074 1184 1312 1432 1517 1776 1968 2148 2864 3034 3552 3936 4296 4551 5728 6068 6623 7339 8592 9102 12136 13246 14678 17184 18204 19869 22017 24272 26492 29356 36408 39738 44034 48544 52984 58712 72816 79476 88068 105968 117424 145632 158952 176136 211936 234848 271543 317904 352272 543086 635808 704544 814629 1086172 1629258 2172344 3258516 4344688 6517032 8689376 13034064 26068128