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20170980 = 22325112061
BaseRepresentation
bin100110011110…
…0100011100100
31101221210101100
41030330203210
520130432410
62000200100
7333310344
oct114744344
941853340
1020170980
1110427835
126909030
1342431bb
142970d24
151b868c0
hex133c8e4

20170980 has 36 divisors (see below), whose sum is σ = 61185852. Its totient is φ = 5378880.

The previous prime is 20170963. The next prime is 20171017. The reversal of 20170980 is 8907102.

It can be written as a sum of positive squares in 2 ways, for example, as 13483584 + 6687396 = 3672^2 + 2586^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55851 + ... + 56210.

It is an arithmetic number, because the mean of its divisors is an integer number (1699607).

Almost surely, 220170980 is an apocalyptic number.

20170980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20170980 is an abundant number, since it is smaller than the sum of its proper divisors (41014872).

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

20170980 is a wasteful number, since it uses less digits than its factorization.

20170980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112076 (or 112071 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 20170980 is about 4491.2114178693. The cubic root of 20170980 is about 272.2130863394.

The spelling of 20170980 in words is "twenty million, one hundred seventy thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 112061 224122 336183 448244 560305 672366 1008549 1120610 1344732 1680915 2017098 2241220 3361830 4034196 5042745 6723660 10085490 20170980