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14364420 = 22357231487
BaseRepresentation
bin110110110010…
…111100000100
31000000210021120
4312302330010
512134130140
61231513540
7233044530
oct66627404
930023246
1014364420
118121224
1249888b0
132c8c275
141c9cbc0
1513db1d0
hexdb2f04

14364420 has 96 divisors (see below), whose sum is σ = 47996928. Its totient is φ = 3138432.

The previous prime is 14364409. The next prime is 14364433. The reversal of 14364420 is 2446341.

14364420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8917 + ... + 10403.

It is an arithmetic number, because the mean of its divisors is an integer number (499968).

Almost surely, 214364420 is an apocalyptic number.

14364420 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 14364420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464).

14364420 is an abundant number, since it is smaller than the sum of its proper divisors (33632508).

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

14364420 is a wasteful number, since it uses less digits than its factorization.

14364420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 14364420 is about 3790.0422161237. The cubic root of 14364420 is about 243.0875397994.

The spelling of 14364420 in words is "fourteen million, three hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1487 1610 1932 2415 2974 3220 4461 4830 5948 7435 8922 9660 10409 14870 17844 20818 22305 29740 31227 34201 41636 44610 52045 62454 68402 89220 102603 104090 124908 136804 156135 171005 205206 208180 239407 312270 342010 410412 478814 513015 624540 684020 718221 957628 1026030 1197035 1436442 2052060 2394070 2872884 3591105 4788140 7182210 14364420