Search a number
-
+
14331300 = 22352233167
BaseRepresentation
bin110110101010…
…110110100100
3222222002211220
4312222312210
512132100200
61231100340
7232546134
oct66526644
928862756
1014331300
1180a9355
1249716b0
132c7a179
141c90ac4
1513d14a0
hexdaada4

14331300 has 144 divisors (see below), whose sum is σ = 45330432. Its totient is φ = 3484800.

The previous prime is 14331299. The next prime is 14331313. The reversal of 14331300 is 313341.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14331300.

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 47 ways as a sum of consecutive naturals, for example, 213867 + ... + 213933.

Almost surely, 214331300 is an apocalyptic number.

14331300 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 14331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22665216).

14331300 is an abundant number, since it is smaller than the sum of its proper divisors (30999132).

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

14331300 is a wasteful number, since it uses less digits than its factorization.

14331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 14331300 is about 3785.6703501494. The cubic root of 14331300 is about 242.9005672885.

Adding to 14331300 its reverse (313341), we get a palindrome (14644641).

The spelling of 14331300 in words is "fourteen million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 31 46 50 60 62 67 69 75 92 93 100 115 124 134 138 150 155 186 201 230 268 276 300 310 335 345 372 402 460 465 575 620 670 690 713 775 804 930 1005 1150 1340 1380 1426 1541 1550 1675 1725 1860 2010 2077 2139 2300 2325 2852 3082 3100 3350 3450 3565 4020 4154 4278 4623 4650 5025 6164 6231 6700 6900 7130 7705 8308 8556 9246 9300 10050 10385 10695 12462 14260 15410 17825 18492 20100 20770 21390 23115 24924 30820 31155 35650 38525 41540 42780 46230 47771 51925 53475 62310 71300 77050 92460 95542 103850 106950 115575 124620 143313 154100 155775 191084 207700 213900 231150 238855 286626 311550 462300 477710 573252 623100 716565 955420 1194275 1433130 2388550 2866260 3582825 4777100 7165650 14331300