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16420860 = 2233547647
BaseRepresentation
bin111110101000…
…111111111100
31010220021012000
4332220333330
513200431420
61343542300
7256401141
oct76507774
933807160
1016420860
1192a6265
1255ba990
13352c2b1
1422763c8
151695690
hexfa8ffc

16420860 has 96 divisors (see below), whose sum is σ = 52254720. Its totient is φ = 4279104.

The previous prime is 16420853. The next prime is 16420867. The reversal of 16420860 is 6802461.

It is an interprime number because it is at equal distance from previous prime (16420853) and next prime (16420867).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16420867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25057 + ... + 25703.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 216420860 is an apocalyptic number.

16420860 is a gapful number since it is divisible by the number (10) 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 16420860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).

16420860 is an abundant number, since it is smaller than the sum of its proper divisors (35833860).

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

16420860 is a wasteful number, since it uses less digits than its factorization.

16420860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 16420860 is about 4052.2660327279. The cubic root of 16420860 is about 254.1744931150.

The spelling of 16420860 in words is "sixteen million, four hundred twenty thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 647 705 846 940 1269 1294 1410 1692 1941 2115 2538 2588 2820 3235 3882 4230 5076 5823 6345 6470 7764 8460 9705 11646 12690 12940 17469 19410 23292 25380 29115 30409 34938 38820 58230 60818 69876 87345 91227 116460 121636 152045 174690 182454 273681 304090 349380 364908 456135 547362 608180 821043 912270 1094724 1368405 1642086 1824540 2736810 3284172 4105215 5473620 8210430 16420860