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20084096 = 27414389
BaseRepresentation
bin100110010011…
…1010110000000
31101210101012102
41030213112000
520120142341
61554245532
7332466134
oct114472600
941711172
1020084096
111037852a
1268868a8
1342127a6
14294b3c4
151b6ac9b
hex1327580

20084096 has 64 divisors (see below), whose sum is σ = 42411600. Its totient is φ = 9461760.

The previous prime is 20084047. The next prime is 20084101. The reversal of 20084096 is 69048002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225620 + ... + 225708.

Almost surely, 220084096 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 20084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21205800).

20084096 is an abundant number, since it is smaller than the sum of its proper divisors (22327504).

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

20084096 is an equidigital number, since it uses as much as digits as its factorization.

20084096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 20084096 is about 4481.5283107440. The cubic root of 20084096 is about 271.8216824322.

The spelling of 20084096 in words is "twenty million, eighty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 32 41 43 64 82 86 89 128 164 172 178 328 344 356 656 688 712 1312 1376 1424 1763 2624 2752 2848 3526 3649 3827 5248 5504 5696 7052 7298 7654 11392 14104 14596 15308 28208 29192 30616 56416 58384 61232 112832 116768 122464 156907 225664 233536 244928 313814 467072 489856 627628 1255256 2510512 5021024 10042048 20084096