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20629896 = 23371923281
BaseRepresentation
bin100111010110…
…0100110001000
31102211002220020
41032230212020
520240124041
62014100440
7340231320
oct116544610
942732806
1020629896
1110710601
126aaa720
134374051
142a50280
151c27866
hex13ac988

20629896 has 128 divisors (see below), whose sum is σ = 64972800. Its totient is φ = 5322240.

The previous prime is 20629883. The next prime is 20629901. The reversal of 20629896 is 69892602.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 73276 + ... + 73556.

It is an arithmetic number, because the mean of its divisors is an integer number (507600).

Almost surely, 220629896 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 20629896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32486400).

20629896 is an abundant number, since it is smaller than the sum of its proper divisors (44342904).

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

20629896 is a wasteful number, since it uses less digits than its factorization.

20629896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 20629896 is about 4542.0145310203. The cubic root of 20629896 is about 274.2620257940.

The spelling of 20629896 in words is "twenty million, six hundred twenty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 23 24 28 38 42 46 56 57 69 76 84 92 114 133 138 152 161 168 184 228 266 276 281 322 399 437 456 483 532 552 562 644 798 843 874 966 1064 1124 1288 1311 1596 1686 1748 1932 1967 2248 2622 3059 3192 3372 3496 3864 3934 5244 5339 5901 6118 6463 6744 7868 9177 10488 10678 11802 12236 12926 15736 16017 18354 19389 21356 23604 24472 25852 32034 36708 37373 38778 42712 45241 47208 51704 64068 73416 74746 77556 90482 112119 122797 128136 135723 149492 155112 180964 224238 245594 271446 298984 361928 368391 448476 491188 542892 736782 859579 896952 982376 1085784 1473564 1719158 2578737 2947128 3438316 5157474 6876632 10314948 20629896