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12088020 = 22357171693
BaseRepresentation
bin101110000111…
…001011010100
3211202010122110
4232013023110
511043304040
61111031020
7204514020
oct56071324
924663573
1012088020
1169069aa
12406b470
132673099
141869380
1510db980
hexb872d4

12088020 has 96 divisors (see below), whose sum is σ = 40981248. Its totient is φ = 2598912.

The previous prime is 12088019. The next prime is 12088033. The reversal of 12088020 is 2088021.

12088020 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120880202 = 292240455040800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

12088020 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6294 + ... + 7986.

It is an arithmetic number, because the mean of its divisors is an integer number (426888).

Almost surely, 212088020 is an apocalyptic number.

12088020 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 12088020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490624).

12088020 is an abundant number, since it is smaller than the sum of its proper divisors (28893228).

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

12088020 is a wasteful number, since it uses less digits than its factorization.

12088020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 12088020 is about 3476.7829958167. The cubic root of 12088020 is about 229.5012506992.

Subtracting from 12088020 its reverse (2088021), we obtain a palindrome (9999999).

The spelling of 12088020 in words is "twelve million, eighty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1693 1785 2380 3386 3570 5079 6772 7140 8465 10158 11851 16930 20316 23702 25395 28781 33860 35553 47404 50790 57562 59255 71106 86343 101580 115124 118510 142212 143905 172686 177765 201467 237020 287810 345372 355530 402934 431715 575620 604401 711060 805868 863430 1007335 1208802 1726860 2014670 2417604 3022005 4029340 6044010 12088020