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20141568 = 29333147
BaseRepresentation
bin100110011010…
…1011000000000
31101220022001000
41030311120000
520124012233
61555412000
7333125526
oct114653000
941808030
1020141568
1110407727
1268b4000
1342329b5
142964316
151b7cd13
hex1335600

20141568 has 160 divisors (see below), whose sum is σ = 62853120. Its totient is φ = 6359040.

The previous prime is 20141567. The next prime is 20141591. The reversal of 20141568 is 86514102.

It is a super-2 number, since 2×201415682 = 811365522997248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20141567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428521 + ... + 428567.

It is an arithmetic number, because the mean of its divisors is an integer number (392832).

Almost surely, 220141568 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 20141568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31426560).

20141568 is an abundant number, since it is smaller than the sum of its proper divisors (42711552).

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

20141568 is an equidigital number, since it uses as much as digits as its factorization.

20141568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 20141568 is about 4487.9358284182. The cubic root of 20141568 is about 272.0807142238.

The spelling of 20141568 in words is "twenty million, one hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 47 48 54 62 64 72 93 94 96 108 124 128 141 144 186 188 192 216 248 256 279 282 288 372 376 384 423 432 496 512 558 564 576 744 752 768 837 846 864 992 1116 1128 1152 1269 1457 1488 1504 1536 1674 1692 1728 1984 2232 2256 2304 2538 2914 2976 3008 3348 3384 3456 3968 4371 4464 4512 4608 5076 5828 5952 6016 6696 6768 6912 7936 8742 8928 9024 10152 11656 11904 12032 13113 13392 13536 13824 15872 17484 17856 18048 20304 23312 23808 24064 26226 26784 27072 34968 35712 36096 39339 40608 46624 47616 52452 53568 54144 69936 71424 72192 78678 81216 93248 104904 107136 108288 139872 142848 157356 162432 186496 209808 214272 216576 279744 314712 324864 372992 419616 428544 559488 629424 649728 745984 839232 1118976 1258848 1678464 2237952 2517696 3356928 5035392 6713856 10070784 20141568