Search a number
-
+
14156640 = 2533529113
BaseRepresentation
bin110110000000…
…001101100000
3222122020021000
4312000031200
512111003030
61223232000
7231221001
oct66001540
928566230
1014156640
117a9a103
1248a8600
132c18814
141c471a8
151399860
hexd80360

14156640 has 192 divisors, whose sum is σ = 51710400. Its totient is φ = 3612672.

The previous prime is 14156633. The next prime is 14156641. The reversal of 14156640 is 4665141.

14156640 is a `hidden beast` number, since 1 + 4 + 15 + 6 + 640 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14156641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125224 + ... + 125336.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 214156640 is an apocalyptic number.

14156640 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 14156640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25855200).

14156640 is an abundant number, since it is smaller than the sum of its proper divisors (37553760).

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

14156640 is a wasteful number, since it uses less digits than its factorization.

14156640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 14156640 is about 3762.5310629947. The cubic root of 14156640 is about 241.9097630463.

The spelling of 14156640 in words is "fourteen million, one hundred fifty-six thousand, six hundred forty".