Search a number
-
+
20416080 = 2435257331
BaseRepresentation
bin100110111100…
…0011001010000
31102102020121010
41031320121100
520211303310
62005330520
7335351046
oct115703120
942366533
1020416080
11105849a3
126a06a40
1342ca929
1429d6396
151bd4320
hex1378650

20416080 has 80 divisors (see below), whose sum is σ = 63728064. Its totient is φ = 5406720.

The previous prime is 20416063. The next prime is 20416093. The reversal of 20416080 is 8061402.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 61515 + ... + 61845.

Almost surely, 220416080 is an apocalyptic number.

20416080 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 20416080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31864032).

20416080 is an abundant number, since it is smaller than the sum of its proper divisors (43311984).

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

20416080 is a wasteful number, since it uses less digits than its factorization.

20416080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

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

The square root of 20416080 is about 4518.4156515310. The cubic root of 20416080 is about 273.3112150785.

Adding to 20416080 its reverse (8061402), we get a palindrome (28477482).

The spelling of 20416080 in words is "twenty million, four hundred sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 257 331 514 662 771 993 1028 1285 1324 1542 1655 1986 2056 2570 2648 3084 3310 3855 3972 4112 4965 5140 5296 6168 6620 7710 7944 9930 10280 12336 13240 15420 15888 19860 20560 26480 30840 39720 61680 79440 85067 170134 255201 340268 425335 510402 680536 850670 1020804 1276005 1361072 1701340 2041608 2552010 3402680 4083216 5104020 6805360 10208040 20416080