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14895000 = 233254331
BaseRepresentation
bin111000110100…
…011110011000
31001000202002200
4320310132120
512303120000
61251130200
7240414441
oct70643630
931022080
1014895000
11845391a
124ba3960
133116913
141d9a2c8
151493500
hexe34798

14895000 has 120 divisors (see below), whose sum is σ = 50561940. Its totient is φ = 3960000.

The previous prime is 14894987. The next prime is 14895011. The reversal of 14895000 is 59841.

14895000 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 tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×148950002 = 443722050000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44835 + ... + 45165.

Almost surely, 214895000 is an apocalyptic number.

14895000 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 14895000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25280970).

14895000 is an abundant number, since it is smaller than the sum of its proper divisors (35666940).

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

14895000 is a wasteful number, since it uses less digits than its factorization.

14895000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 14895000 is about 3859.4040990806. The cubic root of 14895000 is about 246.0444099874.

The spelling of 14895000 in words is "fourteen million, eight hundred ninety-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 331 360 375 450 500 600 625 662 750 900 993 1000 1125 1250 1324 1500 1655 1800 1875 1986 2250 2500 2648 2979 3000 3310 3750 3972 4500 4965 5000 5625 5958 6620 7500 7944 8275 9000 9930 11250 11916 13240 14895 15000 16550 19860 22500 23832 24825 29790 33100 39720 41375 45000 49650 59580 66200 74475 82750 99300 119160 124125 148950 165500 198600 206875 248250 297900 331000 372375 413750 496500 595800 620625 744750 827500 993000 1241250 1489500 1655000 1861875 2482500 2979000 3723750 4965000 7447500 14895000