Search a number
-
+
96930 = 2335359
BaseRepresentation
bin10111101010100010
311220222000
4113222202
511100210
62024430
7552411
oct275242
9156860
1096930
1166909
1248116
1335172
1427478
151dac0
hex17aa2

96930 has 32 divisors (see below), whose sum is σ = 259200. Its totient is φ = 25776.

The previous prime is 96911. The next prime is 96931. The reversal of 96930 is 3969.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 96894 and 96903.

It is not an unprimeable number, because it can be changed into a prime (96931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

296930 is an apocalyptic number.

96930 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 96930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

96930 is an abundant number, since it is smaller than the sum of its proper divisors (162270).

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

96930 is a wasteful number, since it uses less digits than its factorization.

96930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 96930 is about 311.3358315389. The cubic root of 96930 is about 45.9359537172.

It can be divided in two parts, 969 and 30, that added together give a palindrome (999).

The spelling of 96930 in words is "ninety-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 359 718 1077 1795 2154 3231 3590 5385 6462 9693 10770 16155 19386 32310 48465 96930