Search a number
-
+
12000780 = 223251121929
BaseRepresentation
bin101101110001…
…111000001100
3211120200222100
4231301320030
511033011110
61105115100
7204001461
oct55617014
924520870
1012000780
116857400
124028a90
13264246c
141845668
1510c0bc0
hexb71e0c

12000780 has 216 divisors, whose sum is σ = 43570800. Its totient is φ = 2661120.

The previous prime is 12000773. The next prime is 12000797. The reversal of 12000780 is 8700021.

12000780 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 413806 + ... + 413834.

Almost surely, 212000780 is an apocalyptic number.

12000780 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 12000780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21785400).

12000780 is an abundant number, since it is smaller than the sum of its proper divisors (31570020).

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

12000780 is a wasteful number, since it uses less digits than its factorization.

12000780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12000780 is about 3464.2141966108. The cubic root of 12000780 is about 228.9478088316.

The spelling of 12000780 in words is "twelve million, seven hundred eighty", and thus it is an aban number.