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1310973690 = 235133361471
BaseRepresentation
bin100111000100011…
…1101111011111010
310101100211100211010
41032020331323322
510141102124230
6334030414350
744326043505
oct11610757372
93340740733
101310973690
11613012a34
123070613b6
1317b7aaaa0
14c617a13c
157a15b9b0
hex4e23defa

1310973690 has 32 divisors (see below), whose sum is σ = 3388363776. Its totient is φ = 322701120.

The previous prime is 1310973673. The next prime is 1310973691. The reversal of 1310973690 is 963790131.

It is a super-2 number, since 2×13109736902 = 3437304031744432200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1310973691) 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 15 ways as a sum of consecutive naturals, for example, 1680346 + ... + 1681125.

It is an arithmetic number, because the mean of its divisors is an integer number (105886368).

Almost surely, 21310973690 is an apocalyptic number.

1310973690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1310973690 is an abundant number, since it is smaller than the sum of its proper divisors (2077390086).

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

1310973690 is a wasteful number, since it uses less digits than its factorization.

1310973690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361494.

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 1310973690 is about 36207.3706584723. The cubic root of 1310973690 is about 1094.4552074052.

The spelling of 1310973690 in words is "one billion, three hundred ten million, nine hundred seventy-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 3361471 6722942 10084413 16807355 20168826 33614710 43699123 50422065 87398246 100844130 131097369 218495615 262194738 436991230 655486845 1310973690