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20788348 = 2272172367
BaseRepresentation
bin100111101001…
…1010001111100
31110010011020211
41033103101330
520310211343
62021322204
7341461300
oct117232174
943104224
1020788348
1110809659
126b66364
1343cb1c9
142a91d00
151c5979d
hex13d347c

20788348 has 54 divisors (see below), whose sum is σ = 45077424. Its totient is φ = 8362368.

The previous prime is 20788333. The next prime is 20788351. The reversal of 20788348 is 84388702.

It is a self number, because there is not a number n which added to its sum of digits gives 20788348.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56461 + ... + 56827.

Almost surely, 220788348 is an apocalyptic number.

20788348 is a gapful number since it is divisible by the number (28) 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 20788348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22538712).

20788348 is an abundant number, since it is smaller than the sum of its proper divisors (24289076).

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

20788348 is a wasteful number, since it uses less digits than its factorization.

20788348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 20788348 is about 4559.4240864390. The cubic root of 20788348 is about 274.9624102891.

The spelling of 20788348 in words is "twenty million, seven hundred eighty-eight thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 367 476 578 734 833 1156 1468 1666 2023 2569 3332 4046 5138 6239 8092 10276 12478 14161 17983 24956 28322 35966 43673 56644 71932 87346 106063 174692 212126 305711 424252 611422 742441 1222844 1484882 2969764 5197087 10394174 20788348