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12263860 = 2257251349
BaseRepresentation
bin101110110010…
…000110110100
3212002001212001
4232302012310
511114420420
61114505044
7206145460
oct56620664
925061761
1012263860
116a17024
124135184
13270512b
1418b34a0
151123b0a
hexbb21b4

12263860 has 48 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 4176000.

The previous prime is 12263843. The next prime is 12263861. The reversal of 12263860 is 6836221.

12263860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12263861) 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, 34966 + ... + 35314.

It is an arithmetic number, because the mean of its divisors is an integer number (617400).

Almost surely, 212263860 is an apocalyptic number.

12263860 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 12263860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).

12263860 is an abundant number, since it is smaller than the sum of its proper divisors (17371340).

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

12263860 is a wasteful number, since it uses less digits than its factorization.

12263860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 12263860 is about 3501.9794402595. The cubic root of 12263860 is about 230.6087214906.

The spelling of 12263860 in words is "twelve million, two hundred sixty-three thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 251 349 502 698 1004 1255 1396 1745 1757 2443 2510 3490 3514 4886 5020 6980 7028 8785 9772 12215 17570 24430 35140 48860 87599 175198 350396 437995 613193 875990 1226386 1751980 2452772 3065965 6131930 12263860