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20791040 = 28537439
BaseRepresentation
bin100111101001…
…1111100000000
31110010021221112
41033103330000
520310303130
62021342452
7341502164
oct117237400
943107845
1020791040
1110810686
126b67a28
1343cc4ba
142a92ca4
151c5a495
hex13d3f00

20791040 has 72 divisors (see below), whose sum is σ = 51263520. Its totient is φ = 8073216.

The previous prime is 20791037. The next prime is 20791081. The reversal of 20791040 is 4019702.

It is a junction number, because it is equal to n+sod(n) for n = 20790997 and 20791015.

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, 47141 + ... + 47579.

Almost surely, 220791040 is an apocalyptic number.

20791040 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 20791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25631760).

20791040 is an abundant number, since it is smaller than the sum of its proper divisors (30472480).

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

20791040 is an equidigital number, since it uses as much as digits as its factorization.

20791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 20791040 is about 4559.7192896054. The cubic root of 20791040 is about 274.9742785860.

It can be divided in two parts, 2079 and 1040, that multiplied together give a triangular number (2162160 = T2079).

The spelling of 20791040 in words is "twenty million, seven hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 439 592 640 740 878 1184 1280 1480 1756 2195 2368 2960 3512 4390 4736 5920 7024 8780 9472 11840 14048 16243 17560 23680 28096 32486 35120 47360 56192 64972 70240 81215 112384 129944 140480 162430 259888 280960 324860 519776 561920 649720 1039552 1299440 2079104 2598880 4158208 5197760 10395520 20791040