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1307850885 = 3251121771199
BaseRepresentation
bin100110111110100…
…0011100010000101
310101010221201010200
41031331003202011
510134302212020
6333435441113
744260356225
oct11575034205
93333851120
101307850885
1161127a800
12305bb6199
1317ac56583
14c59a6085
1579c41590
hex4df43885

1307850885 has 144 divisors (see below), whose sum is σ = 2688940800. Its totient is φ = 585446400.

The previous prime is 1307850853. The next prime is 1307850893. The reversal of 1307850885 is 5880587031.

It is a happy number.

1307850885 is a `hidden beast` number, since 130 + 7 + 8 + 508 + 8 + 5 = 666.

It is not a de Polignac number, because 1307850885 - 25 = 1307850853 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1307850885.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6572016 + ... + 6572214.

It is an arithmetic number, because the mean of its divisors is an integer number (18673200).

Almost surely, 21307850885 is an apocalyptic number.

1307850885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1307850885 is an abundant number, since it is smaller than the sum of its proper divisors (1381089915).

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

1307850885 is a wasteful number, since it uses less digits than its factorization.

1307850885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 1307850885 is about 36164.2210617068. The cubic root of 1307850885 is about 1093.5855007682.

The spelling of 1307850885 in words is "one billion, three hundred seven million, eight hundred fifty thousand, eight hundred eighty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 71 85 99 121 153 165 187 199 213 255 355 363 495 561 597 605 639 765 781 935 995 1065 1089 1207 1683 1791 1815 2057 2189 2343 2805 2985 3195 3383 3621 3905 5445 6035 6171 6567 7029 8415 8591 8955 10149 10285 10863 10945 11715 13277 14129 16915 18105 18513 19701 24079 25773 30447 30855 32835 35145 37213 39831 42387 42955 50745 54315 66385 70645 72237 77319 92565 98505 111639 119493 120395 127161 128865 146047 152235 155419 186065 199155 211935 216711 240193 334917 361185 386595 409343 438141 466257 558195 597465 635805 720579 730235 777095 1083555 1200965 1228029 1314423 1398771 1674585 1709609 2046715 2161737 2190705 2331285 2642123 3602895 3684087 5128827 6140145 6572115 6993855 7926369 8548045 10808685 13210615 15386481 18420435 23779107 25644135 29063353 39631845 76932405 87190059 118895535 145316765 261570177 435950295 1307850885