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20417340 = 22351737541
BaseRepresentation
bin100110111100…
…0101100111100
31102102022022210
41031320230330
520211323330
62005340420
7335354526
oct115705474
942368283
1020417340
1110585939
126a07710
1342cb388
1429d6a16
151bd48b0
hex1378b3c

20417340 has 96 divisors (see below), whose sum is σ = 62282304. Its totient is φ = 4976640.

The previous prime is 20417339. The next prime is 20417359. The reversal of 20417340 is 4371402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37470 + ... + 38010.

It is an arithmetic number, because the mean of its divisors is an integer number (648774).

Almost surely, 220417340 is an apocalyptic number.

20417340 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 20417340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31141152).

20417340 is an abundant number, since it is smaller than the sum of its proper divisors (41864964).

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

20417340 is a wasteful number, since it uses less digits than its factorization.

20417340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 20417340 is about 4518.5550787835. Note that the first 3 decimals coincide. The cubic root of 20417340 is about 273.3168375265.

Adding to 20417340 its reverse (4371402), we get a palindrome (24788742).

The spelling of 20417340 in words is "twenty million, four hundred seventeen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 68 74 85 102 111 148 170 185 204 222 255 340 370 444 510 541 555 629 740 1020 1082 1110 1258 1623 1887 2164 2220 2516 2705 3145 3246 3774 5410 6290 6492 7548 8115 9197 9435 10820 12580 16230 18394 18870 20017 27591 32460 36788 37740 40034 45985 55182 60051 80068 91970 100085 110364 120102 137955 183940 200170 240204 275910 300255 340289 400340 551820 600510 680578 1020867 1201020 1361156 1701445 2041734 3402890 4083468 5104335 6805780 10208670 20417340