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20429064 = 2333271349
BaseRepresentation
bin100110111101…
…1100100001000
31102102220102000
41031323210020
520212212224
62005511000
7335433645
oct115734410
942386360
1020429064
1110593727
126a12460
134303806
1429dadcc
151bd80c9
hex137b908

20429064 has 64 divisors (see below), whose sum is σ = 57120000. Its totient is φ = 6765120.

The previous prime is 20429063. The next prime is 20429077. The reversal of 20429064 is 46092402.

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

It is not an unprimeable number, because it can be changed into a prime (20429063) 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, 58362 + ... + 58710.

It is an arithmetic number, because the mean of its divisors is an integer number (892500).

Almost surely, 220429064 is an apocalyptic number.

20429064 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 20429064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28560000).

20429064 is an abundant number, since it is smaller than the sum of its proper divisors (36690936).

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

20429064 is a wasteful number, since it uses less digits than its factorization.

20429064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20429064 is about 4519.8522099732. The cubic root of 20429064 is about 273.3691419806.

The spelling of 20429064 in words is "twenty million, four hundred twenty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 271 349 542 698 813 1047 1084 1396 1626 2094 2168 2439 2792 3141 3252 4188 4878 6282 6504 7317 8376 9423 9756 12564 14634 18846 19512 25128 29268 37692 58536 75384 94579 189158 283737 378316 567474 756632 851211 1134948 1702422 2269896 2553633 3404844 5107266 6809688 10214532 20429064