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14235000 = 233541373
BaseRepresentation
bin110110010011…
…010101111000
3222210012202020
4312103111320
512121010000
61225034440
7231665313
oct66232570
928705666
1014235000
118042a6a
124925a20
132c453a0
141c6797a
1513b2ba0
hexd93578

14235000 has 160 divisors (see below), whose sum is σ = 48546960. Its totient is φ = 3456000.

The previous prime is 14234993. The next prime is 14235007. The reversal of 14235000 is 53241.

It is an interprime number because it is at equal distance from previous prime (14234993) and next prime (14235007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14235007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194964 + ... + 195036.

Almost surely, 214235000 is an apocalyptic number.

14235000 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 14235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24273480).

14235000 is an abundant number, since it is smaller than the sum of its proper divisors (34311960).

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

14235000 is a wasteful number, since it uses less digits than its factorization.

14235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 14235000 is about 3772.9298959827. The cubic root of 14235000 is about 242.3552826268.

Adding to 14235000 its reverse (53241), we get a palindrome (14288241).

The spelling of 14235000 in words is "fourteen million, two hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 73 75 78 100 104 120 125 130 146 150 156 195 200 219 250 260 292 300 312 325 365 375 390 438 500 520 584 600 625 650 730 750 780 876 949 975 1000 1095 1250 1300 1460 1500 1560 1625 1752 1825 1875 1898 1950 2190 2500 2600 2847 2920 3000 3250 3650 3750 3796 3900 4380 4745 4875 5000 5475 5694 6500 7300 7500 7592 7800 8125 8760 9125 9490 9750 10950 11388 13000 14235 14600 15000 16250 18250 18980 19500 21900 22776 23725 24375 27375 28470 32500 36500 37960 39000 43800 45625 47450 48750 54750 56940 65000 71175 73000 91250 94900 97500 109500 113880 118625 136875 142350 182500 189800 195000 219000 237250 273750 284700 355875 365000 474500 547500 569400 593125 711750 949000 1095000 1186250 1423500 1779375 2372500 2847000 3558750 4745000 7117500 14235000