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14337420 = 2235832879
BaseRepresentation
bin110110101100…
…010110001100
3222222102020120
4312230112030
512132244140
61231144540
7232603026
oct66542614
928872216
1014337420
118102a09
124975150
132c7cba6
141c93016
1513d31d0
hexdac58c

14337420 has 48 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 3775936.

The previous prime is 14337403. The next prime is 14337439. The reversal of 14337420 is 2473341.

14337420 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 2×143374202 = 411123224512800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3541 + ... + 6419.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 214337420 is an apocalyptic number.

14337420 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 14337420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

14337420 is an abundant number, since it is smaller than the sum of its proper divisors (26305140).

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

14337420 is a wasteful number, since it uses less digits than its factorization.

14337420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 14337420 is about 3786.4785751408. The cubic root of 14337420 is about 242.9351382374.

The spelling of 14337420 in words is "fourteen million, three hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 2879 4980 5758 8637 11516 14395 17274 28790 34548 43185 57580 86370 172740 238957 477914 716871 955828 1194785 1433742 2389570 2867484 3584355 4779140 7168710 14337420