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2105413240 = 23577519333
BaseRepresentation
bin111110101111110…
…0000111001111000
312102201201002000011
41331133200321320
513302441210430
6544530151304
7103113501010
oct17537407170
95381632004
102105413240
119904a6147
124a9122534
13277264a68
1415d898c40
15c4c8622a
hex7d7e0e78

2105413240 has 32 divisors (see below), whose sum is σ = 5413920480. Its totient is φ = 721855872.

The previous prime is 2105413201. The next prime is 2105413241. The reversal of 2105413240 is 423145012.

It is a super-2 number, since 2×21054132402 = 8865529822334595200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105413241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3759387 + ... + 3759946.

It is an arithmetic number, because the mean of its divisors is an integer number (169185015).

Almost surely, 22105413240 is an apocalyptic number.

2105413240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105413240 is an abundant number, since it is smaller than the sum of its proper divisors (3308507240).

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

2105413240 is a wasteful number, since it uses less digits than its factorization.

2105413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7519351 (or 7519347 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2105413240 is about 45884.7822267906. The cubic root of 2105413240 is about 1281.6785514194.

Adding to 2105413240 its reverse (423145012), we get a palindrome (2528558252).

The spelling of 2105413240 in words is "two billion, one hundred five million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 7519333 15038666 30077332 37596665 52635331 60154664 75193330 105270662 150386660 210541324 263176655 300773320 421082648 526353310 1052706620 2105413240