Search a number
-
+
14400918 = 2327373089
BaseRepresentation
bin110110111011…
…110110010110
31000002122100100
4312323312112
512141312133
61232354530
7233256120
oct66736626
930078310
1014400918
118146694
1249a5a46
132ca2a6c
141cac210
1513e6e13
hexdbbd96

14400918 has 48 divisors (see below), whose sum is σ = 36635040. Its totient is φ = 4002048.

The previous prime is 14400899. The next prime is 14400923. The reversal of 14400918 is 81900441.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14400891 and 14400900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3118 + ... + 6206.

It is an arithmetic number, because the mean of its divisors is an integer number (763230).

Almost surely, 214400918 is an apocalyptic number.

14400918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14400918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18317520).

14400918 is an abundant number, since it is smaller than the sum of its proper divisors (22234122).

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

14400918 is a wasteful number, since it uses less digits than its factorization.

14400918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14400918 is about 3794.8541473949. The cubic root of 14400918 is about 243.2932495848.

The spelling of 14400918 in words is "fourteen million, four hundred thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 3089 4662 6178 9267 18534 21623 27801 43246 55602 64869 114293 129738 194607 228586 342879 389214 685758 800051 1028637 1600102 2057274 2400153 4800306 7200459 14400918