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20791120 = 2457137271
BaseRepresentation
bin100111101001…
…1111101010000
31110010022001111
41033103331100
520310303440
62021343104
7341502340
oct117237520
943108044
1020791120
1110810749
126b67a94
1343cc54c
142a92d20
151c5a4ea
hex13d3f50

20791120 has 80 divisors (see below), whose sum is σ = 55853568. Its totient is φ = 7050240.

The previous prime is 20791091. The next prime is 20791129. The reversal of 20791120 is 2119702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 20791091 and 20791100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20791129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76585 + ... + 76855.

Almost surely, 220791120 is an apocalyptic number.

20791120 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 20791120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27926784).

20791120 is an abundant number, since it is smaller than the sum of its proper divisors (35062448).

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

20791120 is a wasteful number, since it uses less digits than its factorization.

20791120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 20791120 is about 4559.7280620669. The cubic root of 20791120 is about 274.9746312686.

The spelling of 20791120 in words is "twenty million, seven hundred ninety-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 137 140 271 274 280 542 548 560 685 959 1084 1096 1355 1370 1897 1918 2168 2192 2710 2740 3794 3836 4336 4795 5420 5480 7588 7672 9485 9590 10840 10960 15176 15344 18970 19180 21680 30352 37127 37940 38360 74254 75880 76720 148508 151760 185635 259889 297016 371270 519778 594032 742540 1039556 1299445 1485080 2079112 2598890 2970160 4158224 5197780 10395560 20791120