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16420080 = 2435312207
BaseRepresentation
bin111110101000…
…110011110000
31010220020010010
4332220303300
513200420310
61343534520
7256365645
oct76506360
933806103
1016420080
1192a5716
1255ba440
13352bb31
142275dcc
151695320
hexfa8cf0

16420080 has 80 divisors (see below), whose sum is σ = 52568064. Its totient is φ = 4235520.

The previous prime is 16420073. The next prime is 16420081. The reversal of 16420080 is 8002461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16420081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6337 + ... + 8543.

Almost surely, 216420080 is an apocalyptic number.

16420080 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 16420080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26284032).

16420080 is an abundant number, since it is smaller than the sum of its proper divisors (36147984).

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

16420080 is a wasteful number, since it uses less digits than its factorization.

16420080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 16420080 is about 4052.1697891377. The cubic root of 16420080 is about 254.1704685746.

The spelling of 16420080 in words is "sixteen million, four hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2207 2480 3720 4414 6621 7440 8828 11035 13242 17656 22070 26484 33105 35312 44140 52968 66210 68417 88280 105936 132420 136834 176560 205251 264840 273668 342085 410502 529680 547336 684170 821004 1026255 1094672 1368340 1642008 2052510 2736680 3284016 4105020 5473360 8210040 16420080