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20689120 = 255191677
BaseRepresentation
bin100111011101…
…1000011100000
31102221010010201
41032323003200
520244022440
62015234544
7340566064
oct116730340
942833121
1020689120
1110751051
126b18a54
134394caa
142a67aa4
151c3a19a
hex13bb0e0

20689120 has 48 divisors (see below), whose sum is σ = 49206528. Its totient is φ = 8220160.

The previous prime is 20689111. The next prime is 20689139. The reversal of 20689120 is 2198602.

It is a happy number.

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, 30222 + ... + 30898.

It is an arithmetic number, because the mean of its divisors is an integer number (1025136).

Almost surely, 220689120 is an apocalyptic number.

20689120 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 20689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24603264).

20689120 is an abundant number, since it is smaller than the sum of its proper divisors (28517408).

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

20689120 is a wasteful number, since it uses less digits than its factorization.

20689120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 20689120 is about 4548.5294326848. The cubic root of 20689120 is about 274.5242241698.

The spelling of 20689120 in words is "twenty million, six hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 191 382 677 764 955 1354 1528 1910 2708 3056 3385 3820 5416 6112 6770 7640 10832 13540 15280 21664 27080 30560 54160 108320 129307 258614 517228 646535 1034456 1293070 2068912 2586140 4137824 5172280 10344560 20689120