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14424840 = 23325172357
BaseRepresentation
bin110111000001…
…101100001000
31000010212011100
4313001230020
512143043330
61233101400
7233415633
oct67015410
930125140
1014424840
118162661
1249b7860
132cb0911
141cb6c1a
1513ee060
hexdc1b08

14424840 has 96 divisors (see below), whose sum is σ = 49659480. Its totient is φ = 3618816.

The previous prime is 14424833. The next prime is 14424869. The reversal of 14424840 is 4842441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11249316 + 3175524 = 3354^2 + 1782^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4942 + ... + 7298.

Almost surely, 214424840 is an apocalyptic number.

14424840 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 14424840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24829740).

14424840 is an abundant number, since it is smaller than the sum of its proper divisors (35234640).

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

14424840 is a wasteful number, since it uses less digits than its factorization.

14424840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 14424840 is about 3798.0047393335. The cubic root of 14424840 is about 243.4278901087.

The spelling of 14424840 in words is "fourteen million, four hundred twenty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 2357 3060 4714 6120 7071 9428 11785 14142 18856 21213 23570 28284 35355 40069 42426 47140 56568 70710 80138 84852 94280 106065 120207 141420 160276 169704 200345 212130 240414 282840 320552 360621 400690 424260 480828 601035 721242 801380 848520 961656 1202070 1442484 1602760 1803105 2404140 2884968 3606210 4808280 7212420 14424840