Search a number
-
+
20085360 = 243583689
BaseRepresentation
bin100110010011…
…1101001110000
31101210102221020
41030213221300
520120212420
61554255440
7332502621
oct114475160
941712836
1020085360
1110379479
126887580
134213239
14294ba48
151b6b340
hex1327a70

20085360 has 40 divisors (see below), whose sum is σ = 62265360. Its totient is φ = 5356032.

The previous prime is 20085353. The next prime is 20085383. The reversal of 20085360 is 6358002.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20085360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41605 + ... + 42084.

It is an arithmetic number, because the mean of its divisors is an integer number (1556634).

Almost surely, 220085360 is an apocalyptic number.

20085360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20085360 is an abundant number, since it is smaller than the sum of its proper divisors (42180000).

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

20085360 is a wasteful number, since it uses less digits than its factorization.

20085360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83705 (or 83699 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 20085360 is about 4481.6693318450. The cubic root of 20085360 is about 271.8273847119.

The spelling of 20085360 in words is "twenty million, eighty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 83689 167378 251067 334756 418445 502134 669512 836890 1004268 1255335 1339024 1673780 2008536 2510670 3347560 4017072 5021340 6695120 10042680 20085360