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14967420 = 22351331619
BaseRepresentation
bin111001000110…
…001001111100
31001011102102220
4321012021330
512312424140
61252445340
7241135536
oct71061174
931142386
1014967420
1184a3276
125019850
133140880
141db8856
1514a9bd0
hexe4627c

14967420 has 96 divisors (see below), whose sum is σ = 46663680. Its totient is φ = 3559680.

The previous prime is 14967373. The next prime is 14967427. The reversal of 14967420 is 2476941.

It is a happy number.

14967420 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 super-2 number, since 2×149674202 = 448047322912800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14967427) 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, 23871 + ... + 24489.

It is an arithmetic number, because the mean of its divisors is an integer number (486080).

Almost surely, 214967420 is an apocalyptic number.

14967420 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 14967420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23331840).

14967420 is an abundant number, since it is smaller than the sum of its proper divisors (31696260).

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

14967420 is a wasteful number, since it uses less digits than its factorization.

14967420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 14967420 is about 3868.7749999192. The cubic root of 14967420 is about 246.4425242497.

The spelling of 14967420 in words is "fourteen million, nine hundred sixty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 619 620 780 806 930 1209 1238 1612 1857 1860 2015 2418 2476 3095 3714 4030 4836 6045 6190 7428 8047 8060 9285 12090 12380 16094 18570 19189 24141 24180 32188 37140 38378 40235 48282 57567 76756 80470 95945 96564 115134 120705 160940 191890 230268 241410 249457 287835 383780 482820 498914 575670 748371 997828 1151340 1247285 1496742 2494570 2993484 3741855 4989140 7483710 14967420