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14490672 = 2437261101
BaseRepresentation
bin110111010001…
…110000110000
31000021012110120
4313101300300
512202200142
61234330240
7234111600
oct67216060
930235416
1014490672
1181a8069
124a29980
133004881
141cd2c00
1514137ec
hexdd1c30

14490672 has 120 divisors (see below), whose sum is σ = 44698032. Its totient is φ = 4032000.

The previous prime is 14490661. The next prime is 14490703. The reversal of 14490672 is 27609441.

It is a happy number.

It is a super-3 number, since 3×144906723 (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143422 + ... + 143522.

Almost surely, 214490672 is an apocalyptic number.

14490672 is a gapful number since it is divisible by the number (12) 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 14490672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22349016).

14490672 is an abundant number, since it is smaller than the sum of its proper divisors (30207360).

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

14490672 is a wasteful number, since it uses less digits than its factorization.

14490672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 14490672 is about 3806.6615294770. The cubic root of 14490672 is about 243.7976464386.

The spelling of 14490672 in words is "fourteen million, four hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 61 84 98 101 112 122 147 168 183 196 202 244 294 303 336 366 392 404 427 488 588 606 707 732 784 808 854 976 1176 1212 1281 1414 1464 1616 1708 2121 2352 2424 2562 2828 2928 2989 3416 4242 4848 4949 5124 5656 5978 6161 6832 8484 8967 9898 10248 11312 11956 12322 14847 16968 17934 18483 19796 20496 23912 24644 29694 33936 35868 36966 39592 43127 47824 49288 59388 71736 73932 79184 86254 98576 118776 129381 143472 147864 172508 237552 258762 295728 301889 345016 517524 603778 690032 905667 1035048 1207556 1811334 2070096 2415112 3622668 4830224 7245336 14490672