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12088080 = 24325103163
BaseRepresentation
bin101110000111…
…001100010000
3211202010201200
4232013030100
511043304310
61111031200
7204514134
oct56071420
924663650
1012088080
116906a54
12406b500
132673114
1418693c4
1510db9c0
hexb87310

12088080 has 120 divisors (see below), whose sum is σ = 41241408. Its totient is φ = 3172608.

The previous prime is 12088079. The next prime is 12088093. The reversal of 12088080 is 8088021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×120880802 = 292243356172800, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74079 + ... + 74241.

Almost surely, 212088080 is an apocalyptic number.

12088080 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 12088080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20620704).

12088080 is an abundant number, since it is smaller than the sum of its proper divisors (29153328).

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

12088080 is a wasteful number, since it uses less digits than its factorization.

12088080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 12088080 is about 3476.7916244722. The cubic root of 12088080 is about 229.5016304155.

The spelling of 12088080 in words is "twelve million, eighty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 103 120 144 163 180 206 240 309 326 360 412 489 515 618 652 720 815 824 927 978 1030 1236 1304 1467 1545 1630 1648 1854 1956 2060 2445 2472 2608 2934 3090 3260 3708 3912 4120 4635 4890 4944 5868 6180 6520 7335 7416 7824 8240 9270 9780 11736 12360 13040 14670 14832 16789 18540 19560 23472 24720 29340 33578 37080 39120 50367 58680 67156 74160 83945 100734 117360 134312 151101 167890 201468 251835 268624 302202 335780 402936 503670 604404 671560 755505 805872 1007340 1208808 1343120 1511010 2014680 2417616 3022020 4029360 6044040 12088080