Search a number
-
+
966822930 = 232518315867
BaseRepresentation
bin111001101000001…
…000110000010010
32111101020200201200
4321220020300102
53440001313210
6235534212030
732646600513
oct7150106022
92441220650
10966822930
11456823417
1222b954016
131253c2098
1492592a0a
1559d2b0c0
hex39a08c12

966822930 has 48 divisors (see below), whose sum is σ = 2515541184. Its totient is φ = 257634720.

The previous prime is 966822919. The next prime is 966822937. The reversal of 966822930 is 39228669.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (966822937) by changing a digit.

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, 161857 + ... + 167723.

It is an arithmetic number, because the mean of its divisors is an integer number (52407108).

Almost surely, 2966822930 is an apocalyptic number.

966822930 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

966822930 is an abundant number, since it is smaller than the sum of its proper divisors (1548718254).

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

966822930 is a wasteful number, since it uses less digits than its factorization.

966822930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7711 (or 7708 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 966822930 is about 31093.7763869235. The cubic root of 966822930 is about 988.8163693307.

The spelling of 966822930 in words is "nine hundred sixty-six million, eight hundred twenty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1831 3662 5493 5867 9155 10986 11734 16479 17601 18310 27465 29335 32958 35202 52803 54930 58670 82395 88005 105606 164790 176010 264015 528030 10742477 21484954 32227431 53712385 64454862 96682293 107424770 161137155 193364586 322274310 483411465 966822930