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2668898160 = 2436545763
BaseRepresentation
bin1001111100010100…
…0010011101110000
320220000000002000000
42133011002131300
520431214220120
61120455430000
7123065155125
oct23705023560
96800002000
102668898160
11114a583765
12625985300
13336c170a6
141b465874c
1510948e990
hex9f142770

2668898160 has 140 divisors (see below), whose sum is σ = 9303729672. Its totient is φ = 711690624.

The previous prime is 2668898147. The next prime is 2668898189. The reversal of 2668898160 is 618988662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2668898097 and 2668898106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 35439 + ... + 81201.

Almost surely, 22668898160 is an apocalyptic number.

2668898160 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 2668898160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651864836).

2668898160 is an abundant number, since it is smaller than the sum of its proper divisors (6634831512).

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

2668898160 is an equidigital number, since it uses as much as digits as its factorization.

2668898160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45794 (or 45773 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 2668898160 is about 51661.3797725148. The cubic root of 2668898160 is about 1387.1092486219.

The spelling of 2668898160 in words is "two billion, six hundred sixty-eight million, eight hundred ninety-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 6480 7290 9720 11664 14580 19440 29160 45763 58320 91526 137289 183052 228815 274578 366104 411867 457630 549156 686445 732208 823734 915260 1098312 1235601 1372890 1647468 1830520 2059335 2196624 2471202 2745780 3294936 3661040 3706803 4118670 4942404 5491560 6178005 6589872 7413606 8237340 9884808 10983120 11120409 12356010 14827212 16474680 18534015 19769616 22240818 24712020 29654424 32949360 33361227 37068030 44481636 49424040 55602045 59308848 66722454 74136060 88963272 98848080 111204090 133444908 148272120 166806135 177926544 222408180 266889816 296544240 333612270 444816360 533779632 667224540 889632720 1334449080 2668898160