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20129292 = 223217311061
BaseRepresentation
bin100110011001…
…0011000001100
31101212200012100
41030302120030
520123114132
61555235100
7333044661
oct114623014
941780170
1020129292
11103a9487
1268a8a90
13422a231
14295da68
151b7937c
hex133260c

20129292 has 72 divisors (see below), whose sum is σ = 55665792. Its totient is φ = 6105600.

The previous prime is 20129287. The next prime is 20129311. The reversal of 20129292 is 29292102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18442 + ... + 19502.

It is an arithmetic number, because the mean of its divisors is an integer number (773136).

Almost surely, 220129292 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 20129292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27832896).

20129292 is an abundant number, since it is smaller than the sum of its proper divisors (35536500).

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

20129292 is a wasteful number, since it uses less digits than its factorization.

20129292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 20129292 is about 4486.5679533470. The cubic root of 20129292 is about 272.0254265446.

The spelling of 20129292 in words is "twenty million, one hundred twenty-nine thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 1054 1061 1116 1581 2108 2122 3162 3183 4244 4743 6324 6366 9486 9549 12732 18037 18972 19098 32891 36074 38196 54111 65782 72148 98673 108222 131564 162333 197346 216444 296019 324666 394692 559147 592038 649332 1118294 1184076 1677441 2236588 3354882 5032323 6709764 10064646 20129292