[go: up one dir, main page]

Search a number
-
+
12690000 = 24335447
BaseRepresentation
bin110000011010…
…001001010000
3212212201102000
4300122021100
511222040000
61131554000
7212602041
oct60321120
925781360
1012690000
117188204
1242bb900
13282409b
1419848c8
1511aa000
hexc1a250

12690000 has 200 divisors, whose sum is σ = 46485120. Its totient is φ = 3312000.

The previous prime is 12689993. The next prime is 12690011. The reversal of 12690000 is 9621.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×126900002 = 322072200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 269977 + ... + 270023.

Almost surely, 212690000 is an apocalyptic number.

12690000 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 12690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23242560).

12690000 is an abundant number, since it is smaller than the sum of its proper divisors (33795120).

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

12690000 is an equidigital number, since it uses as much as digits as its factorization.

12690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12690000 is about 3562.3026261114. The cubic root of 12690000 is about 233.2494029203.

Adding to 12690000 its reverse (9621), we get a palindrome (12699621).

The spelling of 12690000 in words is "twelve million, six hundred ninety thousand".