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930006 = 232711261
BaseRepresentation
bin11100011000011010110
31202020201200
43203003112
5214230011
631533330
710622250
oct3430326
91666650
10930006
11585800
1238a246
132673cc
141a2cd0
15135856
hexe30d6

930006 has 72 divisors (see below), whose sum is σ = 2572752. Its totient is φ = 237600.

The previous prime is 929983. The next prime is 930011. The reversal of 930006 is 600039.

930006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9300062 = 1729822320072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 930006.

It is an unprimeable number.

930006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15216 + ... + 15276.

2930006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286376).

930006 is an abundant number, since it is smaller than the sum of its proper divisors (1642746).

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

930006 is a wasteful number, since it uses less digits than its factorization.

930006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 930006 is about 964.3681869494. The cubic root of 930006 is about 97.6102106804.

The spelling of 930006 in words is "nine hundred thirty thousand, six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 61 63 66 77 99 121 122 126 154 183 198 231 242 363 366 427 462 549 671 693 726 847 854 1089 1098 1281 1342 1386 1694 2013 2178 2541 2562 3843 4026 4697 5082 6039 7381 7623 7686 9394 12078 14091 14762 15246 22143 28182 42273 44286 51667 66429 84546 103334 132858 155001 310002 465003 930006