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20289618 = 2322947827
BaseRepresentation
bin100110101100…
…1100001010010
31102011211010100
41031121201102
520143231433
62002513230
7334313256
oct115314122
942154110
1020289618
11104a8988
126965816
1342851bb
1429a2266
151babb13
hex1359852

20289618 has 48 divisors (see below), whose sum is σ = 46500480. Its totient is φ = 6383328.

The previous prime is 20289583. The next prime is 20289623. The reversal of 20289618 is 81698202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24121 + ... + 24947.

It is an arithmetic number, because the mean of its divisors is an integer number (968760).

Almost surely, 220289618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20289618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23250240).

20289618 is an abundant number, since it is smaller than the sum of its proper divisors (26210862).

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

20289618 is a wasteful number, since it uses less digits than its factorization.

20289618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 20289618 is about 4504.3998490365. The cubic root of 20289618 is about 272.7457279026.

The spelling of 20289618 in words is "twenty million, two hundred eighty-nine thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 18 29 47 58 87 94 141 174 261 282 423 522 827 846 1363 1654 2481 2726 4089 4962 7443 8178 12267 14886 23983 24534 38869 47966 71949 77738 116607 143898 215847 233214 349821 431694 699642 1127201 2254402 3381603 6763206 10144809 20289618