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20066144 = 257293089
BaseRepresentation
bin100110010001…
…0111101100000
31101202110120112
41030202331200
520114104034
61554030452
7332362610
oct114427540
941673515
1020066144
1110365a9a
126878428
134207577
142944a40
151b657ce
hex1322f60

20066144 has 48 divisors (see below), whose sum is σ = 46720800. Its totient is φ = 8300544.

The previous prime is 20066141. The next prime is 20066149. The reversal of 20066144 is 44166002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20066141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4952 + ... + 8040.

It is an arithmetic number, because the mean of its divisors is an integer number (973350).

Almost surely, 220066144 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 20066144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23360400).

20066144 is an abundant number, since it is smaller than the sum of its proper divisors (26654656).

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

20066144 is a wasteful number, since it uses less digits than its factorization.

20066144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 20066144 is about 4479.5249748160. The cubic root of 20066144 is about 271.7406697830.

The spelling of 20066144 in words is "twenty million, sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3089 3248 6178 6496 12356 21623 24712 43246 49424 86492 89581 98848 172984 179162 345968 358324 627067 691936 716648 1254134 1433296 2508268 2866592 5016536 10033072 20066144