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20000064 = 263723647
BaseRepresentation
bin100110001001…
…0110101000000
31101122002221010
41030102311000
520110000224
61552400520
7331666140
oct114226500
941562833
1020000064
1110320387
126846140
1341b3476
142928920
151b50e29
hex1312d40

20000064 has 112 divisors (see below), whose sum is σ = 63203328. Its totient is φ = 5457408.

The previous prime is 20000063. The next prime is 20000069. The reversal of 20000064 is 46000002.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000063) 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, 30589 + ... + 31235.

Almost surely, 220000064 is an apocalyptic number.

20000064 is a gapful number since it is divisible by the number (24) 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 20000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31601664).

20000064 is an abundant number, since it is smaller than the sum of its proper divisors (43203264).

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

20000064 is a wasteful number, since it uses less digits than its factorization.

20000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20000064 is about 4472.1431104114. The cubic root of 20000064 is about 271.4420511971.

Adding to 20000064 its reverse (46000002), we get a palindrome (66000066).

The spelling of 20000064 in words is "twenty million, sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 647 672 736 966 1104 1288 1294 1344 1472 1932 1941 2208 2576 2588 3864 3882 4416 4529 5152 5176 7728 7764 9058 10304 10352 13587 14881 15456 15528 18116 20704 27174 29762 30912 31056 36232 41408 44643 54348 59524 62112 72464 89286 104167 108696 119048 124224 144928 178572 208334 217392 238096 289856 312501 357144 416668 434784 476192 625002 714288 833336 869568 952384 1250004 1428576 1666672 2500008 2857152 3333344 5000016 6666688 10000032 20000064