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20789240 = 2352359383
BaseRepresentation
bin100111101001…
…1011111111000
31110010012110212
41033103133320
520310223430
62021330252
7341464013
oct117233770
943105425
1020789240
111080a29a
126b66988
1343cb734
142a9237a
151c59b95
hex13d37f8

20789240 has 64 divisors (see below), whose sum is σ = 49766400. Its totient is φ = 7798912.

The previous prime is 20789221. The next prime is 20789261. The reversal of 20789240 is 4298702.

It is a junction number, because it is equal to n+sod(n) for n = 20789197 and 20789206.

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, 54089 + ... + 54471.

It is an arithmetic number, because the mean of its divisors is an integer number (777600).

Almost surely, 220789240 is an apocalyptic number.

20789240 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 20789240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24883200).

20789240 is an abundant number, since it is smaller than the sum of its proper divisors (28977160).

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

20789240 is a wasteful number, since it uses less digits than its factorization.

20789240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 20789240 is about 4559.5219047615. The cubic root of 20789240 is about 274.9663429884.

The spelling of 20789240 in words is "twenty million, seven hundred eighty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 59 92 115 118 184 230 236 295 383 460 472 590 766 920 1180 1357 1532 1915 2360 2714 3064 3830 5428 6785 7660 8809 10856 13570 15320 17618 22597 27140 35236 44045 45194 54280 70472 88090 90388 112985 176180 180776 225970 352360 451940 519731 903880 1039462 2078924 2598655 4157848 5197310 10394620 20789240