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20129832 = 2332793539
BaseRepresentation
bin100110011001…
…0100000101000
31101212200221100
41030302200220
520123123312
61555241400
7333046362
oct114624050
941780840
1020129832
11103a9928
1268a9260
13422a558
14295dd32
151b795dc
hex1332828

20129832 has 48 divisors (see below), whose sum is σ = 55224000. Its totient is φ = 6623136.

The previous prime is 20129789. The next prime is 20129833. The reversal of 20129832 is 23892102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20129796 and 20129805.

It is not an unprimeable number, because it can be changed into a prime (20129833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3919 + ... + 7457.

It is an arithmetic number, because the mean of its divisors is an integer number (1150500).

Almost surely, 220129832 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 20129832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27612000).

20129832 is an abundant number, since it is smaller than the sum of its proper divisors (35094168).

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

20129832 is a wasteful number, since it uses less digits than its factorization.

20129832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20129832 is about 4486.6281325735. The cubic root of 20129832 is about 272.0278590265.

The spelling of 20129832 in words is "twenty million, one hundred twenty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 3539 5688 7078 10617 14156 21234 28312 31851 42468 63702 84936 127404 254808 279581 559162 838743 1118324 1677486 2236648 2516229 3354972 5032458 6709944 10064916 20129832