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14465000 = 235411263
BaseRepresentation
bin110111001011…
…011111101000
31000012220020202
4313023133220
512200340000
61234011332
7233644004
oct67133750
930186222
1014465000
11818a850
124a16b48
132cc5c94
141cc7704
15140add5
hexdcb7e8

14465000 has 80 divisors (see below), whose sum is σ = 37113120. Its totient is φ = 5240000.

The previous prime is 14464993. The next prime is 14465021. The reversal of 14465000 is 56441.

It is a happy number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54869 + ... + 55131.

It is an arithmetic number, because the mean of its divisors is an integer number (463914).

Almost surely, 214465000 is an apocalyptic number.

14465000 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 14465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18556560).

14465000 is an abundant number, since it is smaller than the sum of its proper divisors (22648120).

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

14465000 is a wasteful number, since it uses less digits than its factorization.

14465000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 14465000 is about 3803.2880511473. The cubic root of 14465000 is about 243.6535888710.

It can be divided in two parts, 1446 and 5000, that added together give a palindrome (6446).

The spelling of 14465000 in words is "fourteen million, four hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 263 275 440 500 526 550 625 1000 1052 1100 1250 1315 1375 2104 2200 2500 2630 2750 2893 5000 5260 5500 5786 6575 6875 10520 11000 11572 13150 13750 14465 23144 26300 27500 28930 32875 52600 55000 57860 65750 72325 115720 131500 144650 164375 263000 289300 328750 361625 578600 657500 723250 1315000 1446500 1808125 2893000 3616250 7232500 14465000