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20218080 = 253573577
BaseRepresentation
bin100110100100…
…0000011100000
31102001011222210
41031020003200
520133434310
62001202120
7333564561
oct115100340
942034883
1020218080
111045a163
126930340
13425b77c
142984168
151b95820
hex13480e0

20218080 has 96 divisors (see below), whose sum is σ = 64671264. Its totient is φ = 5308416.

The previous prime is 20218067. The next prime is 20218091. The reversal of 20218080 is 8081202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34752 + ... + 35328.

It is an arithmetic number, because the mean of its divisors is an integer number (673659).

Almost surely, 220218080 is an apocalyptic number.

20218080 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 20218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32335632).

20218080 is an abundant number, since it is smaller than the sum of its proper divisors (44453184).

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

20218080 is a wasteful number, since it uses less digits than its factorization.

20218080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 20218080 is about 4496.4519345813. The cubic root of 20218080 is about 272.4247975855.

Adding to 20218080 its reverse (8081202), we get a palindrome (28299282).

It can be divided in two parts, 2021 and 8080, that added together give a palindrome (10101).

The spelling of 20218080 in words is "twenty million, two hundred eighteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 73 80 96 120 146 160 219 240 292 365 438 480 577 584 730 876 1095 1154 1168 1460 1731 1752 2190 2308 2336 2885 2920 3462 3504 4380 4616 5770 5840 6924 7008 8655 8760 9232 11540 11680 13848 17310 17520 18464 23080 27696 34620 35040 42121 46160 55392 69240 84242 92320 126363 138480 168484 210605 252726 276960 336968 421210 505452 631815 673936 842420 1010904 1263630 1347872 1684840 2021808 2527260 3369680 4043616 5054520 6739360 10109040 20218080