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12850080 = 2535191409
BaseRepresentation
bin110001000001…
…001110100000
3220011211222220
4301001032200
511242200310
61135231040
7214136535
oct61011640
926154886
1012850080
117287501
124378480
13287bbc9
1419c6d8c
1511dc670
hexc413a0

12850080 has 96 divisors (see below), whose sum is σ = 42638400. Its totient is φ = 3244032.

The previous prime is 12850073. The next prime is 12850091. The reversal of 12850080 is 8005821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12850080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8416 + ... + 9824.

It is an arithmetic number, because the mean of its divisors is an integer number (444150).

Almost surely, 212850080 is an apocalyptic number.

12850080 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 12850080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21319200).

12850080 is an abundant number, since it is smaller than the sum of its proper divisors (29788320).

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

12850080 is a wasteful number, since it uses less digits than its factorization.

12850080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 12850080 is about 3584.7008243367. The cubic root of 12850080 is about 234.2260945715.

The spelling of 12850080 in words is "twelve million, eight hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1409 1520 1824 2280 2818 3040 4227 4560 5636 7045 8454 9120 11272 14090 16908 21135 22544 26771 28180 33816 42270 45088 53542 56360 67632 80313 84540 107084 112720 133855 135264 160626 169080 214168 225440 267710 321252 338160 401565 428336 535420 642504 676320 803130 856672 1070840 1285008 1606260 2141680 2570016 3212520 4283360 6425040 12850080