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268506840 = 233571718803
BaseRepresentation
bin10000000000010…
…001011011011000
3200201020120010210
4100000101123120
51022214204330
642351011120
76440161530
oct2000213330
9621216123
10268506840
11128624188
1275b09aa0
13438222b4
14279364c0
151888c8b0
hex100116d8

268506840 has 128 divisors (see below), whose sum is σ = 974799360. Its totient is φ = 57759744.

The previous prime is 268506839. The next prime is 268506883. The reversal of 268506840 is 48605862.

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, 4879 + ... + 23681.

It is an arithmetic number, because the mean of its divisors is an integer number (7615620).

Almost surely, 2268506840 is an apocalyptic number.

268506840 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 268506840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487399680).

268506840 is an abundant number, since it is smaller than the sum of its proper divisors (706292520).

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

268506840 is a wasteful number, since it uses less digits than its factorization.

268506840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18841 (or 18837 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 268506840 is about 16386.1783219883. The cubic root of 268506840 is about 645.1367536486.

The spelling of 268506840 in words is "two hundred sixty-eight million, five hundred six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 14280 18803 37606 56409 75212 94015 112818 131621 150424 188030 225636 263242 282045 319651 376060 394863 451272 526484 564090 639302 658105 752120 789726 958953 1052968 1128180 1278604 1316210 1579452 1598255 1917906 1974315 2237557 2256360 2557208 2632420 3158904 3196510 3835812 3948630 4475114 4794765 5264840 6393020 6712671 7671624 7897260 8950228 9589530 11187785 12786040 13425342 15794520 17900456 19179060 22375570 26850684 33563355 38358120 44751140 53701368 67126710 89502280 134253420 268506840