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14294100 = 22352293153
BaseRepresentation
bin110110100001…
…110001010100
3222220012211010
4312201301110
512124402400
61230212220
7232332522
oct66416124
928805733
1014294100
118083407
124954070
132c66262
141c81312
1513c5450
hexda1c54

14294100 has 144 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3494400.

The previous prime is 14294089. The next prime is 14294101. The reversal of 14294100 is 149241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14294101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 269674 + ... + 269726.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 214294100 is an apocalyptic number.

14294100 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 14294100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

14294100 is an abundant number, since it is smaller than the sum of its proper divisors (30703020).

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

14294100 is a wasteful number, since it uses less digits than its factorization.

14294100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 14294100 is about 3780.7538930748. The cubic root of 14294100 is about 242.6902181317.

The spelling of 14294100 in words is "fourteen million, two hundred ninety-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 31 50 53 58 60 62 75 87 93 100 106 116 124 145 150 155 159 174 186 212 265 290 300 310 318 348 372 435 465 530 580 620 636 725 775 795 870 899 930 1060 1325 1450 1537 1550 1590 1643 1740 1798 1860 2175 2325 2650 2697 2900 3074 3100 3180 3286 3596 3975 4350 4495 4611 4650 4929 5300 5394 6148 6572 7685 7950 8215 8700 8990 9222 9300 9858 10788 13485 15370 15900 16430 17980 18444 19716 22475 23055 24645 26970 30740 32860 38425 41075 44950 46110 47647 49290 53940 67425 76850 82150 89900 92220 95294 98580 115275 123225 134850 142941 153700 164300 190588 230550 238235 246450 269700 285882 461100 476470 492900 571764 714705 952940 1191175 1429410 2382350 2858820 3573525 4764700 7147050 14294100