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20129284 = 22719157241
BaseRepresentation
bin100110011001…
…0011000000100
31101212200012001
41030302120010
520123114114
61555235044
7333044650
oct114623004
941780161
1020129284
11103a947a
1268a8a84
13422a226
14295da60
151b79374
hex1332604

20129284 has 48 divisors (see below), whose sum is σ = 42824320. Its totient is φ = 8087040.

The previous prime is 20129269. The next prime is 20129287. The reversal of 20129284 is 48292102.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20129287) 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, 83404 + ... + 83644.

Almost surely, 220129284 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 20129284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21412160).

20129284 is an abundant number, since it is smaller than the sum of its proper divisors (22695036).

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

20129284 is a wasteful number, since it uses less digits than its factorization.

20129284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 20129284 is about 4486.5670617968. The cubic root of 20129284 is about 272.0253905075.

The spelling of 20129284 in words is "twenty million, one hundred twenty-nine thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 157 241 266 314 482 532 628 964 1099 1687 2198 2983 3374 4396 4579 5966 6748 9158 11932 18316 20881 32053 37837 41762 64106 75674 83524 128212 151348 264859 529718 718903 1059436 1437806 2875612 5032321 10064642 20129284