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20084672 = 261983199
BaseRepresentation
bin100110010011…
…1011111000000
31101210101222202
41030213133000
520120202142
61554252332
7332500616
oct114473700
941711882
1020084672
1110378a03
1268870a8
134212b2a
14294b6b6
151b6b032
hex13277c0

20084672 has 56 divisors (see below), whose sum is σ = 42672000. Its totient is φ = 9351936.

The previous prime is 20084671. The next prime is 20084717. The reversal of 20084672 is 27648002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20084671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100829 + ... + 101027.

It is an arithmetic number, because the mean of its divisors is an integer number (762000).

Almost surely, 220084672 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 20084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21336000).

20084672 is an abundant number, since it is smaller than the sum of its proper divisors (22587328).

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

20084672 is a wasteful number, since it uses less digits than its factorization.

20084672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 20084672 is about 4481.5925740745. The cubic root of 20084672 is about 271.8242809691.

The spelling of 20084672 in words is "twenty million, eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 83 152 166 199 304 332 398 608 664 796 1216 1328 1577 1592 2656 3154 3184 3781 5312 6308 6368 7562 12616 12736 15124 16517 25232 30248 33034 50464 60496 66068 100928 120992 132136 241984 264272 313823 528544 627646 1057088 1255292 2510584 5021168 10042336 20084672