[go: up one dir, main page]

Search a number
-
+
26003640 = 23351379211
BaseRepresentation
bin110001100110…
…0100010111000
31210221010021210
41203030202320
523124104030
62325203120
7434012235
oct143144270
953833253
1026003640
1113750a13
1288604a0
135505c90
14364c78c
152439bb0
hex18cc8b8

26003640 has 128 divisors (see below), whose sum is σ = 85478400. Its totient is φ = 6289920.

The previous prime is 26003623. The next prime is 26003669. The reversal of 26003640 is 4630062.

It is a congruent number.

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, 123135 + ... + 123345.

It is an arithmetic number, because the mean of its divisors is an integer number (667800).

Almost surely, 226003640 is an apocalyptic number.

26003640 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 26003640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42739200).

26003640 is an abundant number, since it is smaller than the sum of its proper divisors (59474760).

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

26003640 is a wasteful number, since it uses less digits than its factorization.

26003640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 26003640 is about 5099.3764324670. The cubic root of 26003640 is about 296.2634311773.

The spelling of 26003640 in words is "twenty-six million, three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 79 104 120 130 156 158 195 211 237 260 312 316 390 395 422 474 520 632 633 780 790 844 948 1027 1055 1185 1266 1560 1580 1688 1896 2054 2110 2370 2532 2743 3081 3160 3165 4108 4220 4740 5064 5135 5486 6162 6330 8216 8229 8440 9480 10270 10972 12324 12660 13715 15405 16458 16669 20540 21944 24648 25320 27430 30810 32916 33338 41080 41145 50007 54860 61620 65832 66676 82290 83345 100014 109720 123240 133352 164580 166690 200028 216697 250035 329160 333380 400056 433394 500070 650091 666760 866788 1000140 1083485 1300182 1733576 2000280 2166970 2600364 3250455 4333940 5200728 6500910 8667880 13001820 26003640