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20313288 = 2333157599
BaseRepresentation
bin100110101111…
…1010011001000
31102020000121000
41031133103020
520200011123
62003215000
7334442262
oct115372310
942200530
1020313288
1110514746
126977460
134292bc8
1429aab32
151bb3b43
hex135f4c8

20313288 has 64 divisors (see below), whose sum is σ = 56880000. Its totient is φ = 6716736.

The previous prime is 20313281. The next prime is 20313343. The reversal of 20313288 is 88231302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20313281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33613 + ... + 34211.

It is an arithmetic number, because the mean of its divisors is an integer number (888750).

Almost surely, 220313288 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 20313288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28440000).

20313288 is an abundant number, since it is smaller than the sum of its proper divisors (36566712).

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

20313288 is a wasteful number, since it uses less digits than its factorization.

20313288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20313288 is about 4507.0265142331. The cubic root of 20313288 is about 272.8517489970.

The spelling of 20313288 in words is "twenty million, three hundred thirteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 157 216 314 471 599 628 942 1198 1256 1413 1797 1884 2396 2826 3594 3768 4239 4792 5391 5652 7188 8478 10782 11304 14376 16173 16956 21564 32346 33912 43128 64692 94043 129384 188086 282129 376172 564258 752344 846387 1128516 1692774 2257032 2539161 3385548 5078322 6771096 10156644 20313288