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2140848808 = 23727379947
BaseRepresentation
bin111111110011010…
…1100001010101000
312112012101101110121
41333212230022220
513341024130213
6552233453024
7104023625500
oct17746541250
95465341417
102140848808
119a94a943a
124b8b71174
132816c0b57
14164480a00
15c7e3588d
hex7f9ac2a8

2140848808 has 96 divisors (see below), whose sum is σ = 4798396800. Its totient is φ = 892539648.

The previous prime is 2140848803. The next prime is 2140848821. The reversal of 2140848808 is 8088480412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2140848803) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2260191 + ... + 2261137.

It is an arithmetic number, because the mean of its divisors is an integer number (49983300).

Almost surely, 22140848808 is an apocalyptic number.

2140848808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140848808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399198400).

2140848808 is an abundant number, since it is smaller than the sum of its proper divisors (2657547992).

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

2140848808 is a wasteful number, since it uses less digits than its factorization.

2140848808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 43.

The square root of 2140848808 is about 46269.3074078271. The cubic root of 2140848808 is about 1288.8290975676.

The spelling of 2140848808 in words is "two billion, one hundred forty million, eight hundred forty-eight thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 28 49 56 73 79 98 146 158 196 292 316 392 511 553 584 632 947 1022 1106 1894 2044 2212 3577 3788 3871 4088 4424 5767 6629 7154 7576 7742 11534 13258 14308 15484 23068 26516 28616 30968 40369 46136 46403 53032 69131 74813 80738 92806 138262 149626 161476 185612 276524 282583 299252 322952 371224 483917 523691 553048 565166 598504 967834 1047382 1130332 1935668 2094764 2260664 3387419 3665837 3871336 4189528 5461349 6774838 7331674 10922698 13549676 14663348 21845396 27099352 29326696 38229443 43690792 76458886 152917772 267606101 305835544 535212202 1070424404 2140848808