Search a number
-
+
26093040 = 24352329163
BaseRepresentation
bin110001110001…
…0010111110000
31211002122220220
41203202113300
523134434130
62331133040
7434534001
oct143422760
954078826
1026093040
11138020a6
1288a4180
13553788c
1436731a8
152456410
hex18e25f0

26093040 has 160 divisors (see below), whose sum is σ = 87851520. Its totient is φ = 6386688.

The previous prime is 26093027. The next prime is 26093051. The reversal of 26093040 is 4039062.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 26093040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159999 + ... + 160161.

It is an arithmetic number, because the mean of its divisors is an integer number (549072).

Almost surely, 226093040 is an apocalyptic number.

26093040 is a gapful number since it is divisible by the number (20) 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 26093040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43925760).

26093040 is an abundant number, since it is smaller than the sum of its proper divisors (61758480).

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

26093040 is a wasteful number, since it uses less digits than its factorization.

26093040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 26093040 is about 5108.1346889055. The cubic root of 26093040 is about 296.6025587746.

The spelling of 26093040 in words is "twenty-six million, ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 29 30 40 46 48 58 60 69 80 87 92 115 116 120 138 145 163 174 184 230 232 240 276 290 326 345 348 368 435 460 464 489 552 580 652 667 690 696 815 870 920 978 1104 1160 1304 1334 1380 1392 1630 1740 1840 1956 2001 2320 2445 2608 2668 2760 3260 3335 3480 3749 3912 4002 4727 4890 5336 5520 6520 6670 6960 7498 7824 8004 9454 9780 10005 10672 11247 13040 13340 14181 14996 16008 18745 18908 19560 20010 22494 23635 26680 28362 29992 32016 37490 37816 39120 40020 44988 47270 53360 56235 56724 59984 70905 74980 75632 80040 89976 94540 108721 112470 113448 141810 149960 160080 179952 189080 217442 224940 226896 283620 299920 326163 378160 434884 449880 543605 567240 652326 869768 899760 1087210 1134480 1304652 1630815 1739536 2174420 2609304 3261630 4348840 5218608 6523260 8697680 13046520 26093040