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2066068400 = 245211469561
BaseRepresentation
bin111101100100101…
…1011001110110000
312022222200011000212
41323021123032300
513212403142100
6541003003252
7102125202014
oct17311331660
95288604025
102066068400
11970272850
12497b09528
1326c06a4a6
14158576544
15c15b3635
hex7b25b3b0

2066068400 has 60 divisors (see below), whose sum is σ = 5414988984. Its totient is φ = 751296000.

The previous prime is 2066068399. The next prime is 2066068427. The reversal of 2066068400 is 48606602.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230381 + ... + 239180.

Almost surely, 22066068400 is an apocalyptic number.

2066068400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2066068400 is an abundant number, since it is smaller than the sum of its proper divisors (3348920584).

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

2066068400 is a wasteful number, since it uses less digits than its factorization.

2066068400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469590 (or 469579 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 2066068400 is about 45454.0251242945. The cubic root of 2066068400 is about 1273.6445212829.

It can be divided in two parts, 206 and 6068400, that added together give a palindrome (6068606).

The spelling of 2066068400 in words is "two billion, sixty-six million, sixty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 469561 939122 1878244 2347805 3756488 4695610 5165171 7512976 9391220 10330342 11739025 18782440 20660684 23478050 25825855 37564880 41321368 46956100 51651710 82642736 93912200 103303420 129129275 187824400 206606840 258258550 413213680 516517100 1033034200 2066068400