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14480100 = 22335231173
BaseRepresentation
bin110111001111…
…001011100100
31000020122222000
4313033023210
512201330400
61234205300
7234036015
oct67171344
930218860
1014480100
1181a0128
124a23830
132cccb0b
141ccd00c
151410600
hexdcf2e4

14480100 has 144 divisors (see below), whose sum is σ = 48330240. Its totient is φ = 3715200.

The previous prime is 14480099. The next prime is 14480111. The reversal of 14480100 is 108441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83614 + ... + 83786.

Almost surely, 214480100 is an apocalyptic number.

14480100 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 14480100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24165120).

14480100 is an abundant number, since it is smaller than the sum of its proper divisors (33850140).

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

14480100 is a wasteful number, since it uses less digits than its factorization.

14480100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 14480100 is about 3805.2726577737. The cubic root of 14480100 is about 243.7383426378.

Adding to 14480100 its reverse (108441), we get a palindrome (14588541).

The spelling of 14480100 in words is "fourteen million, four hundred eighty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 31 36 45 50 54 60 62 75 90 93 100 108 124 135 150 155 173 180 186 225 270 279 300 310 346 372 450 465 519 540 558 620 675 692 775 837 865 900 930 1038 1116 1350 1395 1550 1557 1674 1730 1860 2076 2325 2595 2700 2790 3100 3114 3348 3460 4185 4325 4650 4671 5190 5363 5580 6228 6975 7785 8370 8650 9300 9342 10380 10726 12975 13950 15570 16089 16740 17300 18684 20925 21452 23355 25950 26815 27900 31140 32178 38925 41850 46710 48267 51900 53630 64356 77850 80445 83700 93420 96534 107260 116775 134075 144801 155700 160890 193068 233550 241335 268150 289602 321780 402225 467100 482670 536300 579204 724005 804450 965340 1206675 1448010 1608900 2413350 2896020 3620025 4826700 7240050 14480100