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20687296 = 26761757
BaseRepresentation
bin100111011101…
…0100111000000
31102221000122011
41032322213000
520243443141
62015222304
7340560550
oct116724700
942830564
1020687296
111074a743
126b17994
134394206
142a67160
151c39881
hex13ba9c0

20687296 has 56 divisors (see below), whose sum is σ = 47747936. Its totient is φ = 8709120.

The previous prime is 20687291. The next prime is 20687311. The reversal of 20687296 is 69278602.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20687291) 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, 26950 + ... + 27706.

Almost surely, 220687296 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 20687296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23873968).

20687296 is an abundant number, since it is smaller than the sum of its proper divisors (27060640).

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

20687296 is an equidigital number, since it uses as much as digits as its factorization.

20687296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 20687296 is about 4548.3289239016. The cubic root of 20687296 is about 274.5161563721.

The spelling of 20687296 in words is "twenty million, six hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 224 244 427 448 488 757 854 976 1514 1708 1952 3028 3416 3904 5299 6056 6832 10598 12112 13664 21196 24224 27328 42392 46177 48448 84784 92354 169568 184708 323239 339136 369416 646478 738832 1292956 1477664 2585912 2955328 5171824 10343648 20687296