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20429104 = 2417195967
BaseRepresentation
bin100110111101…
…1100100110000
31102102220110111
41031323210300
520212212404
62005511104
7335434033
oct115734460
942386414
1020429104
1110593763
126a12494
134303837
1429db01a
151bd8104
hex137b930

20429104 has 80 divisors (see below), whose sum is σ = 45532800. Its totient is φ = 8819712.

The previous prime is 20429081. The next prime is 20429117. The reversal of 20429104 is 40192402.

20429104 = T147 + T148 + ... + T500.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 304879 + ... + 304945.

It is an arithmetic number, because the mean of its divisors is an integer number (569160).

Almost surely, 220429104 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 20429104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766400).

20429104 is an abundant number, since it is smaller than the sum of its proper divisors (25103696).

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

20429104 is a wasteful number, since it uses less digits than its factorization.

20429104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 20429104 is about 4519.8566348945. The cubic root of 20429104 is about 273.3693203989.

The spelling of 20429104 in words is "twenty million, four hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 17 19 34 38 59 67 68 76 118 134 136 152 236 268 272 304 323 472 536 646 944 1003 1072 1121 1139 1273 1292 2006 2242 2278 2546 2584 3953 4012 4484 4556 5092 5168 7906 8024 8968 9112 10184 15812 16048 17936 18224 19057 20368 21641 31624 38114 43282 63248 67201 75107 76228 86564 134402 150214 152456 173128 268804 300428 304912 346256 537608 600856 1075216 1201712 1276819 2553638 5107276 10214552 20429104