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1310120440 = 23538385517
BaseRepresentation
bin100111000010110…
…1101100111111000
310101022020000101021
41032011231213320
510140342323230
6334000232224
744315561056
oct11605554770
93338200337
101310120440
1161258a972
1230690b674
1317b56c5c5
14c5dd71d6
157a03dc7a
hex4e16d9f8

1310120440 has 32 divisors (see below), whose sum is σ = 2955502080. Its totient is φ = 522673792.

The previous prime is 1310120423. The next prime is 1310120447. The reversal of 1310120440 is 440210131.

It is a super-3 number, since 3×13101204403 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310120447) 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 7 ways as a sum of consecutive naturals, for example, 27439 + ... + 58078.

It is an arithmetic number, because the mean of its divisors is an integer number (92359440).

Almost surely, 21310120440 is an apocalyptic number.

1310120440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310120440 is an abundant number, since it is smaller than the sum of its proper divisors (1645381640).

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

1310120440 is a wasteful number, since it uses less digits than its factorization.

1310120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85911 (or 85907 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1310120440 is about 36195.5859187277. The cubic root of 1310120440 is about 1094.2177130440.

Adding to 1310120440 its reverse (440210131), we get a palindrome (1750330571).

The spelling of 1310120440 in words is "one billion, three hundred ten million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 383 766 1532 1915 3064 3830 7660 15320 85517 171034 342068 427585 684136 855170 1710340 3420680 32753011 65506022 131012044 163765055 262024088 327530110 655060220 1310120440