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1306877676 = 2231324713711
BaseRepresentation
bin100110111100101…
…0101111011101100
310101002010021010220
41031321111323230
510134030041201
6333402531340
744246163666
oct11571257354
93332107126
101306877676
116107755a5
12305806b50
1317a9a5600
14c57d1536
1579aed036
hex4de55eec

1306877676 has 72 divisors (see below), whose sum is σ = 3372493824. Its totient is φ = 393531840.

The previous prime is 1306877597. The next prime is 1306877681. The reversal of 1306877676 is 6767786031.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 88461 + ... + 102171.

It is an arithmetic number, because the mean of its divisors is an integer number (46840192).

Almost surely, 21306877676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306877676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686246912).

1306877676 is an abundant number, since it is smaller than the sum of its proper divisors (2065616148).

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

1306877676 is a wasteful number, since it uses less digits than its factorization.

1306877676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13791 (or 13776 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The square root of 1306877676 is about 36150.7631454718. The cubic root of 1306877676 is about 1093.3141774438.

The spelling of 1306877676 in words is "one billion, three hundred six million, eight hundred seventy-seven thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 169 188 282 338 507 564 611 676 1014 1222 1833 2028 2444 3666 7332 7943 13711 15886 23829 27422 31772 41133 47658 54844 82266 95316 164532 178243 356486 534729 644417 712972 1069458 1288834 1933251 2138916 2317159 2577668 3866502 4634318 6951477 7733004 8377421 9268636 13902954 16754842 25132263 27805908 33509684 50264526 100529052 108906473 217812946 326719419 435625892 653438838 1306877676