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14260400 = 2452711463
BaseRepresentation
bin110110011001…
…100010110000
3222211111120222
4312121202300
512122313100
61225352212
7232132340
oct66314260
928744528
1014260400
118060060
124938668
132c53b0b
141c72d20
1513ba485
hexd998b0

14260400 has 120 divisors (see below), whose sum is σ = 42806784. Its totient is φ = 4435200.

The previous prime is 14260387. The next prime is 14260409. The reversal of 14260400 is 406241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14260409) 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 23 ways as a sum of consecutive naturals, for example, 30569 + ... + 31031.

Almost surely, 214260400 is an apocalyptic number.

14260400 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 14260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21403392).

14260400 is an abundant number, since it is smaller than the sum of its proper divisors (28546384).

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

14260400 is a wasteful number, since it uses less digits than its factorization.

14260400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 14260400 is about 3776.2944800426. The cubic root of 14260400 is about 242.4993445974.

Adding to 14260400 its reverse (406241), we get a palindrome (14666641).

The spelling of 14260400 in words is "fourteen million, two hundred sixty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 175 176 200 220 275 280 308 350 385 400 440 463 550 560 616 700 770 880 926 1100 1232 1400 1540 1852 1925 2200 2315 2800 3080 3241 3704 3850 4400 4630 5093 6160 6482 7408 7700 9260 10186 11575 12964 15400 16205 18520 20372 23150 25465 25928 30800 32410 35651 37040 40744 46300 50930 51856 64820 71302 81025 81488 92600 101860 127325 129640 142604 162050 178255 185200 203720 254650 259280 285208 324100 356510 407440 509300 570416 648200 713020 891275 1018600 1296400 1426040 1782550 2037200 2852080 3565100 7130200 14260400