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14831040 = 263572207
BaseRepresentation
bin111000100100…
…110111000000
31000220111100210
4320210313000
512244043130
61245514120
7240030120
oct70446700
930814323
1014831040
11840a864
124b72940
1330c3783
141d80c80
15147e5b0
hexe24dc0

14831040 has 112 divisors (see below), whose sum is σ = 53839872. Its totient is φ = 3388416.

The previous prime is 14831029. The next prime is 14831059. The reversal of 14831040 is 4013841.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 14830998 and 14831016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5617 + ... + 7823.

Almost surely, 214831040 is an apocalyptic number.

14831040 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 14831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26919936).

14831040 is an abundant number, since it is smaller than the sum of its proper divisors (39008832).

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

14831040 is a wasteful number, since it uses less digits than its factorization.

14831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 14831040 is about 3851.1089312041. The cubic root of 14831040 is about 245.6917283369.

Adding to 14831040 its reverse (4013841), we get a palindrome (18844881).

The spelling of 14831040 in words is "fourteen million, eight hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2207 2240 3360 4414 6621 6720 8828 11035 13242 15449 17656 22070 26484 30898 33105 35312 44140 46347 52968 61796 66210 70624 77245 88280 92694 105936 123592 132420 141248 154490 176560 185388 211872 231735 247184 264840 308980 353120 370776 423744 463470 494368 529680 617960 706240 741552 926940 988736 1059360 1235920 1483104 1853880 2118720 2471840 2966208 3707760 4943680 7415520 14831040