Search a number
-
+
966108 = 2231113563
BaseRepresentation
bin11101011110111011100
31211002020210
43223313130
5221403413
632412420
711132433
oct3536734
91732223
10966108
115aa940
123a7110
1327a980
141b211a
151413c3
hexebddc

966108 has 48 divisors (see below), whose sum is σ = 2653056. Its totient is φ = 269760.

The previous prime is 966041. The next prime is 966109. The reversal of 966108 is 801669.

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 966108.

It is not an unprimeable number, because it can be changed into a prime (966109) by changing a digit.

966108 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 15 ways as a sum of consecutive naturals, for example, 1435 + ... + 1997.

It is an arithmetic number, because the mean of its divisors is an integer number (55272).

2966108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326528).

966108 is an abundant number, since it is smaller than the sum of its proper divisors (1686948).

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

966108 is a wasteful number, since it uses less digits than its factorization.

966108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 966108 is about 982.9079305815. The cubic root of 966108 is about 98.8572578116.

The spelling of 966108 in words is "nine hundred sixty-six thousand, one hundred eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 563 572 858 1126 1689 1716 2252 3378 6193 6756 7319 12386 14638 18579 21957 24772 29276 37158 43914 74316 80509 87828 161018 241527 322036 483054 966108