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20341600 = 255247541
BaseRepresentation
bin100110110011…
…0001101100000
31102021110102121
41031212031200
520201412400
62003554024
7334620646
oct115461540
942243377
1020341600
1110533a44
12698b914
1342a2a66
1429b7196
151bbc21a
hex1366360

20341600 has 72 divisors (see below), whose sum is σ = 50809248. Its totient is φ = 7948800.

The previous prime is 20341567. The next prime is 20341613. The reversal of 20341600 is 614302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37330 + ... + 37870.

It is an arithmetic number, because the mean of its divisors is an integer number (705684).

Almost surely, 220341600 is an apocalyptic number.

20341600 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 20341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25404624).

20341600 is an abundant number, since it is smaller than the sum of its proper divisors (30467648).

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

20341600 is a wasteful number, since it uses less digits than its factorization.

20341600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 20341600 is about 4510.1662940517. The cubic root of 20341600 is about 272.9784541132.

Adding to 20341600 its reverse (614302), we get a palindrome (20955902).

The spelling of 20341600 in words is "twenty million, three hundred forty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 200 235 376 400 470 541 752 800 940 1082 1175 1504 1880 2164 2350 2705 3760 4328 4700 5410 7520 8656 9400 10820 13525 17312 18800 21640 25427 27050 37600 43280 50854 54100 86560 101708 108200 127135 203416 216400 254270 406832 432800 508540 635675 813664 1017080 1271350 2034160 2542700 4068320 5085400 10170800 20341600