Search a number
-
+
14942312 = 23711127191
BaseRepresentation
bin111001000000…
…000001101000
31001010010222222
4321000001220
512311123222
61252133212
7241002410
oct71000150
931103888
1014942312
118486420
125007208
133132308
141dad640
1514a2542
hexe40068

14942312 has 64 divisors (see below), whose sum is σ = 35389440. Its totient is φ = 5745600.

The previous prime is 14942311. The next prime is 14942353. The reversal of 14942312 is 21324941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14942311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78137 + ... + 78327.

It is an arithmetic number, because the mean of its divisors is an integer number (552960).

Almost surely, 214942312 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 14942312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17694720).

14942312 is an abundant number, since it is smaller than the sum of its proper divisors (20447128).

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

14942312 is a wasteful number, since it uses less digits than its factorization.

14942312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 14942312 is about 3865.5286831170. The cubic root of 14942312 is about 246.3046438381.

The spelling of 14942312 in words is "fourteen million, nine hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 127 154 191 254 308 382 508 616 764 889 1016 1337 1397 1528 1778 2101 2674 2794 3556 4202 5348 5588 7112 8404 9779 10696 11176 14707 16808 19558 24257 29414 39116 48514 58828 78232 97028 117656 169799 194056 266827 339598 533654 679196 1067308 1358392 1867789 2134616 3735578 7471156 14942312