Search a number
-
+
14369940 = 22335132389
BaseRepresentation
bin110110110100…
…010010010100
31000001001212000
4312310102110
512134314230
61231555300
7233066604
oct66642224
930031760
1014369940
118125392
12498bb30
132c91930
141ca0c04
1513dcb60
hexdb4494

14369940 has 192 divisors, whose sum is σ = 50803200. Its totient is φ = 3345408.

The previous prime is 14369939. The next prime is 14369951. The reversal of 14369940 is 4996341.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14369895 and 14369904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161416 + ... + 161504.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 214369940 is an apocalyptic number.

14369940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14369940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

14369940 is an abundant number, since it is smaller than the sum of its proper divisors (36433260).

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

14369940 is a wasteful number, since it uses less digits than its factorization.

14369940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 14369940 is about 3790.7703702546. The cubic root of 14369940 is about 243.1186739344.

The spelling of 14369940 in words is "fourteen million, three hundred sixty-nine thousand, nine hundred forty".