Search a number
-
+
9939000 = 233533313
BaseRepresentation
bin100101111010…
…100000111000
3200200221202010
4211322200320
510021022000
6553005520
7150323451
oct45724070
920627663
109939000
115679355
1233b38a0
13209cb86
14146a128
15d14d50
hex97a838

9939000 has 64 divisors (see below), whose sum is σ = 31019040. Its totient is φ = 2649600.

The previous prime is 9938993. The next prime is 9939011. The reversal of 9939000 is 9399.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1344 + ... + 4656.

Almost surely, 29939000 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 9939000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15509520).

9939000 is an abundant number, since it is smaller than the sum of its proper divisors (21080040).

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

9939000 is a wasteful number, since it uses less digits than its factorization.

9939000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 30.

The square root of 9939000 is about 3152.6179597281. The cubic root of 9939000 is about 215.0045068462.

The spelling of 9939000 in words is "nine million, nine hundred thirty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3313 6626 9939 13252 16565 19878 26504 33130 39756 49695 66260 79512 82825 99390 132520 165650 198780 248475 331300 397560 414125 496950 662600 828250 993900 1242375 1656500 1987800 2484750 3313000 4969500 9939000