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14490840 = 23357131327
BaseRepresentation
bin110111010001…
…110011011000
31000021012200210
4313101303120
512202201330
61234331120
7234112230
oct67216330
930235623
1014490840
1181a8201
124a29aa0
133004980
141cd2cc0
1514138b0
hexdd1cd8

14490840 has 128 divisors (see below), whose sum is σ = 53544960. Its totient is φ = 3055104.

The previous prime is 14490823. The next prime is 14490869. The reversal of 14490840 is 4809441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14490798 and 14490807.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10257 + ... + 11583.

It is an arithmetic number, because the mean of its divisors is an integer number (418320).

Almost surely, 214490840 is an apocalyptic number.

14490840 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 14490840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26772480).

14490840 is an abundant number, since it is smaller than the sum of its proper divisors (39054120).

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

14490840 is a wasteful number, since it uses less digits than its factorization.

14490840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 14490840 is about 3806.6835959927. The cubic root of 14490840 is about 243.7985886044.

The spelling of 14490840 in words is "fourteen million, four hundred ninety thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1327 1365 1560 1820 2184 2654 2730 3640 3981 5308 5460 6635 7962 9289 10616 10920 13270 15924 17251 18578 19905 26540 27867 31848 34502 37156 39810 46445 51753 53080 55734 69004 74312 79620 86255 92890 103506 111468 120757 138008 139335 159240 172510 185780 207012 222936 241514 258765 278670 345020 362271 371560 414024 483028 517530 557340 603785 690040 724542 966056 1035060 1114680 1207570 1449084 1811355 2070120 2415140 2898168 3622710 4830280 7245420 14490840