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20598144 = 27377997
BaseRepresentation
bin100111010010…
…0110110000000
31102202111100020
41032210312000
520233120034
62013253440
7340036620
oct116446600
942674306
1020598144
1110699766
126a94280
134362768
142a42880
151c1d249
hex13a4d80

20598144 has 128 divisors (see below), whose sum is σ = 63974400. Its totient is φ = 5750784.

The previous prime is 20598121. The next prime is 20598157. The reversal of 20598144 is 44189502.

It is a tau number, because it is divible by the number of its divisors (128).

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, 212304 + ... + 212400.

It is an arithmetic number, because the mean of its divisors is an integer number (499800).

Almost surely, 220598144 is an apocalyptic number.

20598144 is a gapful number since it is divisible by the number (24) 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 20598144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31987200).

20598144 is an abundant number, since it is smaller than the sum of its proper divisors (43376256).

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

20598144 is an equidigital number, since it uses as much as digits as its factorization.

20598144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 20598144 is about 4538.5178197293. The cubic root of 20598144 is about 274.1212456462.

The spelling of 20598144 in words is "twenty million, five hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 97 112 128 158 168 192 194 224 237 291 316 336 384 388 448 474 553 582 632 672 679 776 896 948 1106 1164 1264 1344 1358 1552 1659 1896 2037 2212 2328 2528 2688 2716 3104 3318 3792 4074 4424 4656 5056 5432 6208 6636 7584 7663 8148 8848 9312 10112 10864 12416 13272 15168 15326 16296 17696 18624 21728 22989 26544 30336 30652 32592 35392 37248 43456 45978 53088 53641 61304 65184 70784 86912 91956 106176 107282 122608 130368 160923 183912 212352 214564 245216 260736 321846 367824 429128 490432 643692 735648 858256 980864 1287384 1471296 1716512 2574768 2942592 3433024 5149536 6866048 10299072 20598144