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14258430 = 234529607
BaseRepresentation
bin110110011001…
…000011111110
3222211101220000
4312121003332
512122232210
61225335130
7232123524
oct66310376
928741800
1014258430
11805962a
1249374a6
132c52c54
141c72314
1513b9ac0
hexd990fe

14258430 has 80 divisors (see below), whose sum is σ = 39726720. Its totient is φ = 3665088.

The previous prime is 14258429. The next prime is 14258443. The reversal of 14258430 is 3485241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14258394 and 14258403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23187 + ... + 23793.

It is an arithmetic number, because the mean of its divisors is an integer number (496584).

Almost surely, 214258430 is an apocalyptic number.

14258430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14258430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19863360).

14258430 is an abundant number, since it is smaller than the sum of its proper divisors (25468290).

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

14258430 is a wasteful number, since it uses less digits than its factorization.

14258430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 14258430 is about 3776.0336333248. The cubic root of 14258430 is about 242.4881774092.

The spelling of 14258430 in words is "fourteen million, two hundred fifty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 607 783 810 870 1214 1305 1566 1821 2349 2610 3035 3642 3915 4698 5463 6070 7830 9105 10926 11745 16389 17603 18210 23490 27315 32778 35206 49167 52809 54630 81945 88015 98334 105618 158427 163890 176030 245835 264045 316854 475281 491670 528090 792135 950562 1425843 1584270 2376405 2851686 4752810 7129215 14258430