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14712420 = 2235733359
BaseRepresentation
bin111000000111…
…111001100100
31000200110122110
4320013321210
512231244140
61243201020
7236024232
oct70077144
930613573
1014712420
118339728
124b16170
133081798
141d4d952
151459380
hexe07e64

14712420 has 48 divisors (see below), whose sum is σ = 41771520. Its totient is φ = 3868416.

The previous prime is 14712419. The next prime is 14712427. The reversal of 14712420 is 2421741.

It is a happy number.

14712420 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 not an unprimeable number, because it can be changed into a prime (14712427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2701 + ... + 6059.

It is an arithmetic number, because the mean of its divisors is an integer number (870240).

Almost surely, 214712420 is an apocalyptic number.

14712420 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 14712420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20885760).

14712420 is an abundant number, since it is smaller than the sum of its proper divisors (27059100).

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

14712420 is a wasteful number, since it uses less digits than its factorization.

14712420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 14712420 is about 3835.6772544102. The cubic root of 14712420 is about 245.0349526698.

The spelling of 14712420 in words is "fourteen million, seven hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 3359 4380 6718 10077 13436 16795 20154 33590 40308 50385 67180 100770 201540 245207 490414 735621 980828 1226035 1471242 2452070 2942484 3678105 4904140 7356210 14712420