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20426760 = 23325232467
BaseRepresentation
bin100110111101…
…1000000001000
31102102210020200
41031323000020
520212124020
62005452200
7335424144
oct115730010
942383220
1020426760
1110591a22
126a11060
134302753
1429da224
151bd7590
hex137b008

20426760 has 96 divisors (see below), whose sum is σ = 69301440. Its totient is φ = 5208192.

The previous prime is 20426743. The next prime is 20426761. The reversal of 20426760 is 6762402.

It is not an unprimeable number, because it can be changed into a prime (20426761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7047 + ... + 9513.

It is an arithmetic number, because the mean of its divisors is an integer number (721890).

Almost surely, 220426760 is an apocalyptic number.

20426760 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 20426760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34650720).

20426760 is an abundant number, since it is smaller than the sum of its proper divisors (48874680).

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

20426760 is a wasteful number, since it uses less digits than its factorization.

20426760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20426760 is about 4519.5973271963. The cubic root of 20426760 is about 273.3588646916.

The spelling of 20426760 in words is "twenty million, four hundred twenty-six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2467 2760 4140 4934 7401 8280 9868 12335 14802 19736 22203 24670 29604 37005 44406 49340 56741 59208 74010 88812 98680 111015 113482 148020 170223 177624 222030 226964 283705 296040 340446 444060 453928 510669 567410 680892 851115 888120 1021338 1134820 1361784 1702230 2042676 2269640 2553345 3404460 4085352 5106690 6808920 10213380 20426760