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929214 = 2321113192
BaseRepresentation
bin11100010110110111110
31202012122100
43202312332
5214213324
631525530
710620036
oct3426676
91665570
10929214
11585150
123898a6
13266c40
141a28c6
151354c9
hexe2dbe

929214 has 72 divisors (see below), whose sum is σ = 2496312. Its totient is φ = 246240.

The previous prime is 929209. The next prime is 929239. The reversal of 929214 is 412929.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (1296) is a multiple of the sum of its prime divisors (48).

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 929214.

It is an unprimeable number.

929214 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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48897 + ... + 48915.

It is an arithmetic number, because the mean of its divisors is an integer number (34671).

2929214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 929214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248156).

929214 is an abundant number, since it is smaller than the sum of its proper divisors (1567098).

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

929214 is a wasteful number, since it uses less digits than its factorization.

929214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 48 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 929214 is about 963.9574679414. The cubic root of 929214 is about 97.5824942849.

The spelling of 929214 in words is "nine hundred twenty-nine thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 33 38 39 57 66 78 99 114 117 143 171 198 209 234 247 286 342 361 418 429 494 627 722 741 858 1083 1254 1287 1482 1881 2166 2223 2574 2717 3249 3762 3971 4446 4693 5434 6498 7942 8151 9386 11913 14079 16302 23826 24453 28158 35739 42237 48906 51623 71478 84474 103246 154869 309738 464607 929214