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12279780 = 22325174013
BaseRepresentation
bin101110110101…
…111111100100
3212002212200200
4232311333210
511120423110
61115110500
7206243052
oct56657744
925085620
1012279780
116a27a87
124142430
13270c456
1418b91d2
1511286c0
hexbb5fe4

12279780 has 72 divisors (see below), whose sum is σ = 39449592. Its totient is φ = 3081216.

The previous prime is 12279779. The next prime is 12279781. The reversal of 12279780 is 8797221.

It is an interprime number because it is at equal distance from previous prime (12279779) and next prime (12279781).

It can be written as a sum of positive squares in 4 ways, for example, as 4562496 + 7717284 = 2136^2 + 2778^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12279781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054 + ... + 5066.

It is an arithmetic number, because the mean of its divisors is an integer number (547911).

Almost surely, 212279780 is an apocalyptic number.

12279780 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 12279780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19724796).

12279780 is an abundant number, since it is smaller than the sum of its proper divisors (27169812).

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

12279780 is a wasteful number, since it uses less digits than its factorization.

12279780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 12279780 is about 3504.2517032884. The cubic root of 12279780 is about 230.7084645132.

The spelling of 12279780 in words is "twelve million, two hundred seventy-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 4013 8026 12039 16052 20065 24078 36117 40130 48156 60195 68221 72234 80260 120390 136442 144468 180585 204663 240780 272884 341105 361170 409326 613989 682210 722340 818652 1023315 1227978 1364420 2046630 2455956 3069945 4093260 6139890 12279780