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2066020440 = 2335111565167
BaseRepresentation
bin111101100100100…
…1111100001011000
312022222120201020120
41323021033201120
513212400123230
6541001553240
7102124612131
oct17311174130
95288521216
102066020440
1197023a810
12497aa5820
1326c051703
14158562c88
15c15a4310
hex7b24f858

2066020440 has 64 divisors (see below), whose sum is σ = 6761525760. Its totient is φ = 500853120.

The previous prime is 2066020427. The next prime is 2066020447. The reversal of 2066020440 is 440206602.

2066020440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2066020440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066020447) 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, 781264 + ... + 783903.

It is an arithmetic number, because the mean of its divisors is an integer number (105648840).

Almost surely, 22066020440 is an apocalyptic number.

2066020440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2066020440 is an abundant number, since it is smaller than the sum of its proper divisors (4695505320).

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

2066020440 is a wasteful number, since it uses less digits than its factorization.

2066020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565192 (or 1565188 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2066020440 is about 45453.4975551937. The cubic root of 2066020440 is about 1273.6346660971.

The spelling of 2066020440 in words is "two billion, sixty-six million, twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1565167 3130334 4695501 6260668 7825835 9391002 12521336 15651670 17216837 18782004 23477505 31303340 34433674 37564008 46955010 51650511 62606680 68867348 86084185 93910020 103301022 137734696 172168370 187820040 206602044 258252555 344336740 413204088 516505110 688673480 1033010220 2066020440