Search a number
-
+
12849760 = 2557211149
BaseRepresentation
bin110001000001…
…001001100000
3220011211120001
4301001021200
511242143020
61135225344
7214135600
oct61011140
926154501
1012849760
117287240
124378254
13287ba11
1419c6c00
1511dc50a
hexc41260

12849760 has 144 divisors (see below), whose sum is σ = 38782800. Its totient is φ = 3978240.

The previous prime is 12849721. The next prime is 12849761. The reversal of 12849760 is 6794821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12849761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86166 + ... + 86314.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 212849760 is an apocalyptic number.

12849760 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 12849760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19391400).

12849760 is an abundant number, since it is smaller than the sum of its proper divisors (25933040).

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

12849760 is a wasteful number, since it uses less digits than its factorization.

12849760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 12849760 is about 3584.6561899295. The cubic root of 12849760 is about 234.2241502783.

The spelling of 12849760 in words is "twelve million, eight hundred forty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 70 77 80 88 98 110 112 140 149 154 160 176 196 220 224 245 280 298 308 352 385 392 440 490 539 560 596 616 745 770 784 880 980 1043 1078 1120 1192 1232 1490 1540 1568 1639 1760 1960 2086 2156 2384 2464 2695 2980 3080 3278 3920 4172 4312 4768 5215 5390 5960 6160 6556 7301 7840 8195 8344 8624 10430 10780 11473 11920 12320 13112 14602 16390 16688 17248 20860 21560 22946 23840 26224 29204 32780 33376 36505 41720 43120 45892 52448 57365 58408 65560 73010 80311 83440 86240 91784 114730 116816 131120 146020 160622 166880 183568 229460 233632 262240 292040 321244 367136 401555 458920 584080 642488 803110 917840 1168160 1284976 1606220 1835680 2569952 3212440 6424880 12849760