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12853080 = 233453967
BaseRepresentation
bin110001000001…
…111101011000
3220012000010000
4301001331120
511242244310
61135253000
7214151352
oct61017530
926160100
1012853080
117289789
12437a160
132880396
1419c80d2
1511dd4c0
hexc41f58

12853080 has 80 divisors (see below), whose sum is σ = 43211520. Its totient is φ = 3426624.

The previous prime is 12853069. The next prime is 12853081. The reversal of 12853080 is 8035821.

It is a happy number.

12853080 is a `hidden beast` number, since 128 + 530 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12853081) 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 19 ways as a sum of consecutive naturals, for example, 1257 + ... + 5223.

It is an arithmetic number, because the mean of its divisors is an integer number (540144).

Almost surely, 212853080 is an apocalyptic number.

12853080 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 12853080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21605760).

12853080 is an abundant number, since it is smaller than the sum of its proper divisors (30358440).

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

12853080 is a wasteful number, since it uses less digits than its factorization.

12853080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12853080 is about 3585.1192448788. The cubic root of 12853080 is about 234.2443207514.

The spelling of 12853080 in words is "twelve million, eight hundred fifty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 3967 7934 11901 15868 19835 23802 31736 35703 39670 47604 59505 71406 79340 95208 107109 119010 142812 158680 178515 214218 238020 285624 321327 357030 428436 476040 535545 642654 714060 856872 1071090 1285308 1428120 1606635 2142180 2570616 3213270 4284360 6426540 12853080