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12301540 = 2251797373
BaseRepresentation
bin101110111011…
…010011100100
3212010222112121
4232323103210
511122122130
61115355324
7206363356
oct56732344
925128477
1012301540
116a42369
124152b44
132719324
1418c30d6
15112ed7a
hexbbb4e4

12301540 has 48 divisors (see below), whose sum is σ = 27708912. Its totient is φ = 4571136.

The previous prime is 12301537. The next prime is 12301543. The reversal of 12301540 is 4510321.

It is an interprime number because it is at equal distance from previous prime (12301537) and next prime (12301543).

It can be written as a sum of positive squares in 8 ways, for example, as 65536 + 12236004 = 256^2 + 3498^2 .

It is not an unprimeable number, because it can be changed into a prime (12301543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32794 + ... + 33166.

It is an arithmetic number, because the mean of its divisors is an integer number (577269).

Almost surely, 212301540 is an apocalyptic number.

12301540 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 12301540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13854456).

12301540 is an abundant number, since it is smaller than the sum of its proper divisors (15407372).

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

12301540 is a wasteful number, since it uses less digits than its factorization.

12301540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 12301540 is about 3507.3551288685. The cubic root of 12301540 is about 230.8446573386.

Adding to 12301540 its reverse (4510321), we get a palindrome (16811861).

The spelling of 12301540 in words is "twelve million, three hundred one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 373 388 485 746 970 1492 1649 1865 1940 3298 3730 6341 6596 7460 8245 12682 16490 25364 31705 32980 36181 63410 72362 126820 144724 180905 361810 615077 723620 1230154 2460308 3075385 6150770 12301540