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96030 = 23251197
BaseRepresentation
bin10111011100011110
311212201200
4113130132
511033110
62020330
7546654
oct273436
9155650
1096030
1166170
12476a6
133492c
1426dd4
151d6c0
hex1771e

96030 has 48 divisors (see below), whose sum is σ = 275184. Its totient is φ = 23040.

The previous prime is 96017. The next prime is 96043. The reversal of 96030 is 3069.

It is an interprime number because it is at equal distance from previous prime (96017) and next prime (96043).

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

It is a junction number, because it is equal to n+sod(n) for n = 95994 and 96012.

It is a congruent number.

It is an unprimeable number.

96030 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 942 + ... + 1038.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

296030 is an apocalyptic number.

96030 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 96030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592).

96030 is an abundant number, since it is smaller than the sum of its proper divisors (179154).

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

96030 is a wasteful number, since it uses less digits than its factorization.

96030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 118 counting only the distinct ones).

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

The square root of 96030 is about 309.8870762068. The cubic root of 96030 is about 45.7933388481.

96030 divided by its sum of digits (18) gives a palindrome (5335).

Adding to 96030 its reverse (3069), we get a palindrome (99099).

It can be divided in two parts, 960 and 30, that added together give a triangular number (990 = T44).

The spelling of 96030 in words is "ninety-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 97 99 110 165 194 198 291 330 485 495 582 873 970 990 1067 1455 1746 2134 2910 3201 4365 5335 6402 8730 9603 10670 16005 19206 32010 48015 96030