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20968384 = 264161131
BaseRepresentation
bin100111111111…
…1001111000000
31110110022012211
41033333033000
520331442014
62025231504
7343141213
oct117771700
943408184
1020968384
1110921948
127032594
134462138
142adb77a
151c92cc4
hex13ff3c0

20968384 has 56 divisors (see below), whose sum is σ = 43653456. Its totient is φ = 9984000.

The previous prime is 20968379. The next prime is 20968397. The reversal of 20968384 is 48386902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159999 + ... + 160129.

It is an arithmetic number, because the mean of its divisors is an integer number (779526).

Almost surely, 220968384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21826728).

20968384 is an abundant number, since it is smaller than the sum of its proper divisors (22685072).

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

20968384 is a wasteful number, since it uses less digits than its factorization.

20968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 20968384 is about 4579.1248072093. The cubic root of 20968384 is about 275.7538938967.

It can be divided in two parts, 2096 and 8384, that multiplied together give a square (17572864 = 41922).

The spelling of 20968384 in words is "twenty million, nine hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 61 64 82 122 131 164 244 262 328 488 524 656 976 1048 1312 1952 2096 2501 2624 3904 4192 5002 5371 7991 8384 10004 10742 15982 20008 21484 31964 40016 42968 63928 80032 85936 127856 160064 171872 255712 327631 343744 511424 655262 1310524 2621048 5242096 10484192 20968384