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1340205720 = 233571595483
BaseRepresentation
bin100111111100001…
…1110101010011000
310110101211111121220
41033320132222120
510221043040340
6340553132040
745132363210
oct11770365230
93411744556
101340205720
11628569437
123149ba020
13184874349
14c9dc9240
157c9d2ed0
hex4fe1ea98

1340205720 has 64 divisors (see below), whose sum is σ = 4594993920. Its totient is φ = 306332544.

The previous prime is 1340205707. The next prime is 1340205721. The reversal of 1340205720 is 275020431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340205721) 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 15 ways as a sum of consecutive naturals, for example, 796902 + ... + 798581.

It is an arithmetic number, because the mean of its divisors is an integer number (71796780).

Almost surely, 21340205720 is an apocalyptic number.

1340205720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340205720 is an abundant number, since it is smaller than the sum of its proper divisors (3254788200).

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

1340205720 is a wasteful number, since it uses less digits than its factorization.

1340205720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595504 (or 1595500 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 1340205720 is about 36608.8202486778. The cubic root of 1340205720 is about 1102.5301866982.

The spelling of 1340205720 in words is "one billion, three hundred forty million, two hundred five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1595483 3190966 4786449 6381932 7977415 9572898 11168381 12763864 15954830 19145796 22336762 23932245 31909660 33505143 38291592 44673524 47864490 55841905 63819320 67010286 89347048 95728980 111683810 134020572 167525715 191457960 223367620 268041144 335051430 446735240 670102860 1340205720