Search a number
-
+
9942030 = 2325743367
BaseRepresentation
bin100101111011…
…010000001110
3200201002220100
4211323100032
510021121110
6553031530
7150335340
oct45732016
920632810
109942030
11568065a
1233b55a6
1320a1377
14146b290
15d15bc0
hex97b40e

9942030 has 96 divisors (see below), whose sum is σ = 30311424. Its totient is φ = 2213568.

The previous prime is 9942029. The next prime is 9942043. The reversal of 9942030 is 302499.

9942030 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

9942030 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 9941985 and 9942003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26907 + ... + 27273.

It is an arithmetic number, because the mean of its divisors is an integer number (315744).

Almost surely, 29942030 is an apocalyptic number.

9942030 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9942030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15155712).

9942030 is an abundant number, since it is smaller than the sum of its proper divisors (20369394).

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

9942030 is a wasteful number, since it uses less digits than its factorization.

9942030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 9942030 is about 3153.0984761025. The cubic root of 9942030 is about 215.0263533588.

The spelling of 9942030 in words is "nine million, nine hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 43 45 63 70 86 90 105 126 129 210 215 258 301 315 367 387 430 602 630 645 734 774 903 1101 1290 1505 1806 1835 1935 2202 2569 2709 3010 3303 3670 3870 4515 5138 5418 5505 6606 7707 9030 11010 12845 13545 15414 15781 16515 23121 25690 27090 31562 33030 38535 46242 47343 77070 78905 94686 110467 115605 142029 157810 220934 231210 236715 284058 331401 473430 552335 662802 710145 994203 1104670 1420290 1657005 1988406 3314010 4971015 9942030