Search a number
-
+
9986445 = 32573647
BaseRepresentation
bin100110000110…
…000110001101
3200210100211100
4212012012031
510024031240
6554013313
7150612000
oct46060615
920710740
109986445
115700a67
123417239
1320b8651
14147d537
15d23e30
hex98618d

9986445 has 48 divisors (see below), whose sum is σ = 20217600. Its totient is φ = 4558176.

The previous prime is 9986443. The next prime is 9986467. The reversal of 9986445 is 5446899.

It is a happy number.

It is not a de Polignac number, because 9986445 - 21 = 9986443 is a prime.

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 9986445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9986443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15112 + ... + 15758.

It is an arithmetic number, because the mean of its divisors is an integer number (421200).

Almost surely, 29986445 is an apocalyptic number.

It is an amenable number.

9986445 is an abundant number, since it is smaller than the sum of its proper divisors (10231155).

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

9986445 is a wasteful number, since it uses less digits than its factorization.

9986445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 662 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 9986445 is about 3160.1336997032. The cubic root of 9986445 is about 215.3460804458.

The spelling of 9986445 in words is "nine million, nine hundred eighty-six thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 343 441 647 735 1029 1715 1941 2205 3087 3235 4529 5145 5823 9705 13587 15435 22645 29115 31703 40761 67935 95109 158515 203805 221921 285327 475545 665763 1109605 1426635 1997289 3328815 9986445