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12406788 = 2232734721
BaseRepresentation
bin101111010101…
…000000000100
3212100022220200
4233111000010
511134004123
61121530500
7210312252
oct57250004
925308820
1012406788
117004449
1241a3a30
1327551c4
14190d5d2
151151143
hexbd5004

12406788 has 36 divisors (see below), whose sum is σ = 31797948. Its totient is φ = 4078080.

The previous prime is 12406781. The next prime is 12406799. The reversal of 12406788 is 88760421.

It can be written as a sum of positive squares in 2 ways, for example, as 6874884 + 5531904 = 2622^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (12406781) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268 + ... + 4988.

Almost surely, 212406788 is an apocalyptic number.

12406788 is a gapful number since it is divisible by the number (18) 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 12406788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15898974).

12406788 is an abundant number, since it is smaller than the sum of its proper divisors (19391160).

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

12406788 is a wasteful number, since it uses less digits than its factorization.

12406788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 12406788 is about 3522.3270716956. The cubic root of 12406788 is about 231.5011327764.

The spelling of 12406788 in words is "twelve million, four hundred six thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 4721 9442 14163 18884 28326 42489 56652 84978 169956 344633 689266 1033899 1378532 2067798 3101697 4135596 6203394 12406788