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2133405240 = 233517778377
BaseRepresentation
bin111111100101001…
…0010111000111000
312111200101012210220
41333022102320320
513332122431430
6551410140040
7103603434231
oct17712227070
95450335726
102133405240
119a5284a2a
124b6581620
1327ccb5a85
141634a4088
15c7465110
hex7f292e38

2133405240 has 32 divisors (see below), whose sum is σ = 6400216080. Its totient is φ = 568908032.

The previous prime is 2133405233. The next prime is 2133405299. The reversal of 2133405240 is 425043312.

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 2133405240.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 8889069 + ... + 8889308.

Almost surely, 22133405240 is an apocalyptic number.

2133405240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133405240 is an abundant number, since it is smaller than the sum of its proper divisors (4266810840).

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

2133405240 is a wasteful number, since it uses less digits than its factorization.

2133405240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17778391 (or 17778387 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2133405240 is about 46188.7999411113. The cubic root of 2133405240 is about 1287.3336428790. Note that the first 3 decimals are identical.

Adding to 2133405240 its reverse (425043312), we get a palindrome (2558448552).

The spelling of 2133405240 in words is "two billion, one hundred thirty-three million, four hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17778377 35556754 53335131 71113508 88891885 106670262 142227016 177783770 213340524 266675655 355567540 426681048 533351310 711135080 1066702620 2133405240