Search a number
-
+
14516700 = 22352115383
BaseRepresentation
bin110111011000…
…000111011100
31000022112011120
4313120013130
512204013300
61235050540
7234250512
oct67300734
930275146
1014516700
118215680
124a40a50
133013683
141cdc4b2
15141b3a0
hexdd81dc

14516700 has 144 divisors (see below), whose sum is σ = 47246976. Its totient is φ = 3411200.

The previous prime is 14516693. The next prime is 14516713. The reversal of 14516700 is 761541.

It is a congruent number.

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, 174859 + ... + 174941.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 214516700 is an apocalyptic number.

14516700 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 14516700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23623488).

14516700 is an abundant number, since it is smaller than the sum of its proper divisors (32730276).

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

14516700 is a wasteful number, since it uses less digits than its factorization.

14516700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 14516700 is about 3810.0787393438. The cubic root of 14516700 is about 243.9435280938.

The spelling of 14516700 in words is "fourteen million, five hundred sixteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 53 55 60 66 75 83 100 106 110 132 150 159 165 166 212 220 249 265 275 300 318 330 332 415 498 530 550 583 636 660 795 825 830 913 996 1060 1100 1166 1245 1325 1590 1650 1660 1749 1826 2075 2332 2490 2650 2739 2915 3180 3300 3498 3652 3975 4150 4399 4565 4980 5300 5478 5830 6225 6996 7950 8300 8745 8798 9130 10956 11660 12450 13197 13695 14575 15900 17490 17596 18260 21995 22825 24900 26394 27390 29150 34980 43725 43990 45650 48389 52788 54780 58300 65985 68475 87450 87980 91300 96778 109975 131970 136950 145167 174900 193556 219950 241945 263940 273900 290334 329925 439900 483890 580668 659850 725835 967780 1209725 1319700 1451670 2419450 2903340 3629175 4838900 7258350 14516700