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12260280 = 2335711439
BaseRepresentation
bin101110110001…
…001110111000
3212001212221110
4232301032320
511114312110
61114440320
7206132154
oct56611670
925055843
1012260280
116a1436a
1241330a0
132703606
1418b2064
151122a20
hexbb13b8

12260280 has 64 divisors (see below), whose sum is σ = 37324800. Its totient is φ = 3221120.

The previous prime is 12260257. The next prime is 12260291. The reversal of 12260280 is 8206221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7801 + ... + 9239.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 212260280 is an apocalyptic number.

12260280 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 12260280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662400).

12260280 is an abundant number, since it is smaller than the sum of its proper divisors (25064520).

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

12260280 is a wasteful number, since it uses less digits than its factorization.

12260280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12260280 is about 3501.4682634575. The cubic root of 12260280 is about 230.5862799546.

The spelling of 12260280 in words is "twelve million, two hundred sixty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1439 1704 2130 2840 2878 4260 4317 5756 7195 8520 8634 11512 14390 17268 21585 28780 34536 43170 57560 86340 102169 172680 204338 306507 408676 510845 613014 817352 1021690 1226028 1532535 2043380 2452056 3065070 4086760 6130140 12260280