Search a number
-
+
99414 = 2337263
BaseRepresentation
bin11000010001010110
312001101000
4120101112
511140124
62044130
7562560
oct302126
9161330
1099414
1168767
1249646
1336333
1428330
151e6c9
hex18456

99414 has 32 divisors (see below), whose sum is σ = 253440. Its totient is φ = 28296.

The previous prime is 99409. The next prime is 99431. The reversal of 99414 is 41499.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 247 + ... + 509.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

299414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126720).

99414 is an abundant number, since it is smaller than the sum of its proper divisors (154026).

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

99414 is a wasteful number, since it uses less digits than its factorization.

99414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

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

The square root of 99414 is about 315.2998572787. The cubic root of 99414 is about 46.3250449551.

The spelling of 99414 in words is "ninety-nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 263 378 526 789 1578 1841 2367 3682 4734 5523 7101 11046 14202 16569 33138 49707 99414