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14945000 = 23547261
BaseRepresentation
bin111001000000…
…101011101000
31001010021200112
4321000223220
512311220000
61252153452
7241013300
oct71005350
931107615
1014945000
118488444
125008888
1331335c5
141db0600
1514a3235
hexe40ae8

14945000 has 120 divisors (see below), whose sum is σ = 41400810. Its totient is φ = 5040000.

The previous prime is 14944973. The next prime is 14945017. The reversal of 14945000 is 54941.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 550564 + 14394436 = 742^2 + 3794^2 .

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, 244970 + ... + 245030.

Almost surely, 214945000 is an apocalyptic number.

14945000 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 14945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20700405).

14945000 is an abundant number, since it is smaller than the sum of its proper divisors (26455810).

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

14945000 is an equidigital number, since it uses as much as digits as its factorization.

14945000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 14945000 is about 3865.8763560155. The cubic root of 14945000 is about 246.3194123511.

Adding to 14945000 its reverse (54941), we get a palindrome (14999941).

The spelling of 14945000 in words is "fourteen million, nine hundred forty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 61 70 98 100 122 125 140 175 196 200 244 245 250 280 305 350 392 427 488 490 500 610 625 700 854 875 980 1000 1220 1225 1250 1400 1525 1708 1750 1960 2135 2440 2450 2500 2989 3050 3416 3500 4270 4375 4900 5000 5978 6100 6125 7000 7625 8540 8750 9800 10675 11956 12200 12250 14945 15250 17080 17500 21350 23912 24500 29890 30500 30625 35000 38125 42700 49000 53375 59780 61000 61250 74725 76250 85400 106750 119560 122500 149450 152500 213500 245000 266875 298900 305000 373625 427000 533750 597800 747250 1067500 1494500 1868125 2135000 2989000 3736250 7472500 14945000