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20429864 = 23721319211
BaseRepresentation
bin100110111101…
…1110000101000
31102102221111122
41031323300220
520212223424
62005514412
7335436200
oct115736050
942387448
1020429864
1110594294
126a12a08
134303ca0
1429db400
151bd845e
hex137bc28

20429864 has 96 divisors (see below), whose sum is σ = 50752800. Its totient is φ = 7620480.

The previous prime is 20429863. The next prime is 20429873. The reversal of 20429864 is 46892402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20429863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96719 + ... + 96929.

It is an arithmetic number, because the mean of its divisors is an integer number (528675).

Almost surely, 220429864 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 20429864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25376400).

20429864 is an abundant number, since it is smaller than the sum of its proper divisors (30322936).

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

20429864 is a wasteful number, since it uses less digits than its factorization.

20429864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 20429864 is about 4519.9407075757. The cubic root of 20429864 is about 273.3727103029.

The spelling of 20429864 in words is "twenty million, four hundred twenty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 49 52 56 76 91 98 104 133 152 182 196 211 247 266 364 392 422 494 532 637 728 844 931 988 1064 1274 1477 1688 1729 1862 1976 2548 2743 2954 3458 3724 4009 5096 5486 5908 6916 7448 8018 10339 10972 11816 12103 13832 16036 19201 20678 21944 24206 28063 32072 38402 41356 48412 52117 56126 76804 82712 96824 104234 112252 134407 153608 196441 208468 224504 268814 364819 392882 416936 537628 729638 785764 1075256 1459276 1571528 2553733 2918552 5107466 10214932 20429864