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14316720 = 24351121729
BaseRepresentation
bin110110100111…
…010010110000
3222221100211220
4312213102300
512131113340
61230505040
7232455465
oct66472260
928840756
1014316720
118099400
124965180
132c73642
141c8966c
1513cbed0
hexda74b0

14316720 has 240 divisors, whose sum is σ = 53434080. Its totient is φ = 3153920.

The previous prime is 14316719. The next prime is 14316727. The reversal of 14316720 is 2761341.

14316720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14316727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493666 + ... + 493694.

It is an arithmetic number, because the mean of its divisors is an integer number (222642).

Almost surely, 214316720 is an apocalyptic number.

14316720 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 14316720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26717040).

14316720 is an abundant number, since it is smaller than the sum of its proper divisors (39117360).

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

14316720 is a wasteful number, since it uses less digits than its factorization.

14316720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 14316720 is about 3783.7441773989. The cubic root of 14316720 is about 242.8181674147.

The spelling of 14316720 in words is "fourteen million, three hundred sixteen thousand, seven hundred twenty".