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20058080 = 255717909
BaseRepresentation
bin100110010000…
…0111111100000
31101202001111212
41030200333200
520113324310
61553525252
7332330240
oct114407740
941661455
1020058080
111035aa29
126873828
1342039b3
142941b20
151b63205
hex1320fe0

20058080 has 48 divisors (see below), whose sum is σ = 54159840. Its totient is φ = 6876672.

The previous prime is 20058067. The next prime is 20058083. The reversal of 20058080 is 8085002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20058083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7835 + ... + 10074.

It is an arithmetic number, because the mean of its divisors is an integer number (1128330).

Almost surely, 220058080 is an apocalyptic number.

20058080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20058080 is an abundant number, since it is smaller than the sum of its proper divisors (34101760).

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

20058080 is a wasteful number, since it uses less digits than its factorization.

20058080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17931 (or 17923 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 20058080 is about 4478.6247889280. The cubic root of 20058080 is about 271.7042633469.

The spelling of 20058080 in words is "twenty million, fifty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 17909 35818 71636 89545 125363 143272 179090 250726 286544 358180 501452 573088 626815 716360 1002904 1253630 1432720 2005808 2507260 2865440 4011616 5014520 10029040 20058080