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10319085 = 3257174147
BaseRepresentation
bin100111010111…
…010011101101
3201102021010100
4213113103231
510120202320
61005101313
7153465540
oct47272355
921367110
1010319085
115908977
123557839
1321a3b8a
141528857
15d8c790
hex9d74ed

10319085 has 96 divisors (see below), whose sum is σ = 22643712. Its totient is φ = 4239360.

The previous prime is 10319083. The next prime is 10319087. The reversal of 10319085 is 58091301.

It is an interprime number because it is at equal distance from previous prime (10319083) and next prime (10319087).

It is not a de Polignac number, because 10319085 - 21 = 10319083 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10319083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219532 + ... + 219578.

It is an arithmetic number, because the mean of its divisors is an integer number (235872).

Almost surely, 210319085 is an apocalyptic number.

10319085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10319085 is an abundant number, since it is smaller than the sum of its proper divisors (12324627).

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

10319085 is a wasteful number, since it uses less digits than its factorization.

10319085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 10319085 is about 3212.3332641555. Note that the first 3 decimals coincide. The cubic root of 10319085 is about 217.7110120216.

The spelling of 10319085 in words is "ten million, three hundred nineteen thousand, eighty-five".

Divisors: 1 3 5 7 9 15 17 21 35 41 45 47 51 63 85 105 119 123 141 153 205 235 255 287 315 329 357 369 423 595 615 697 705 765 799 861 987 1071 1435 1645 1785 1845 1927 2091 2115 2397 2583 2961 3485 3995 4305 4879 4935 5355 5593 5781 6273 7191 9635 10455 11985 12915 13489 14637 14805 16779 17343 24395 27965 28905 31365 32759 35955 40467 43911 50337 67445 73185 83895 86715 98277 121401 163795 202335 219555 229313 251685 294831 491385 607005 687939 1146565 1474155 2063817 3439695 10319085