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20170248 = 2337197189
BaseRepresentation
bin100110011110…
…0011000001000
31101221202101020
41030330120020
520130421443
62000152440
7333305250
oct114743010
941852336
1020170248
111042722a
126908720
134242a77
142970960
151b86583
hex133c608

20170248 has 128 divisors (see below), whose sum is σ = 62208000. Its totient is φ = 5322240.

The previous prime is 20170247. The next prime is 20170253. The reversal of 20170248 is 84207102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20170247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226588 + ... + 226676.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 220170248 is an apocalyptic number.

20170248 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 20170248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104000).

20170248 is an abundant number, since it is smaller than the sum of its proper divisors (42037752).

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

20170248 is a wasteful number, since it uses less digits than its factorization.

20170248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 20170248 is about 4491.1299246403. The cubic root of 20170248 is about 272.2097934505.

The spelling of 20170248 in words is "twenty million, one hundred seventy thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 71 76 84 89 114 133 142 152 168 178 213 228 266 267 284 356 399 426 456 497 532 534 568 623 712 798 852 994 1064 1068 1246 1349 1491 1596 1691 1704 1869 1988 2136 2492 2698 2982 3192 3382 3738 3976 4047 4984 5073 5396 5964 6319 6764 7476 8094 9443 10146 10792 11837 11928 12638 13528 14952 16188 18886 18957 20292 23674 25276 28329 32376 35511 37772 37914 40584 44233 47348 50552 56658 71022 75544 75828 88466 94696 113316 120061 132699 142044 151656 176932 226632 240122 265398 284088 353864 360183 480244 530796 720366 840427 960488 1061592 1440732 1680854 2521281 2881464 3361708 5042562 6723416 10085124 20170248