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2066010936 = 2331128327653
BaseRepresentation
bin111101100100100…
…1101001100111000
312022222120020012120
41323021031030320
513212344322221
6541001441240
7102124542333
oct17311151470
95288506176
102066010936
11970233660
12497aa0220
1326c04a2a2
1415855d61a
15c15a15c6
hex7b24d338

2066010936 has 64 divisors (see below), whose sum is σ = 5654689920. Its totient is φ = 623829120.

The previous prime is 2066010917. The next prime is 2066010937. The reversal of 2066010936 is 6390106602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2066010897 and 2066010906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066010937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60886 + ... + 88538.

It is an arithmetic number, because the mean of its divisors is an integer number (88354530).

Almost surely, 22066010936 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 2066010936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827344960).

2066010936 is an abundant number, since it is smaller than the sum of its proper divisors (3588678984).

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

2066010936 is a wasteful number, since it uses less digits than its factorization.

2066010936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27956 (or 27952 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 2066010936 is about 45453.3930086633. The cubic root of 2066010936 is about 1273.6327131248.

The spelling of 2066010936 in words is "two billion, sixty-six million, ten thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 283 566 849 1132 1698 2264 3113 3396 6226 6792 9339 12452 18678 24904 27653 37356 55306 74712 82959 110612 165918 221224 304183 331836 608366 663672 912549 1216732 1825098 2433464 3650196 7300392 7825799 15651598 23477397 31303196 46954794 62606392 86083789 93909588 172167578 187819176 258251367 344335156 516502734 688670312 1033005468 2066010936