Base | Representation |
---|---|
bin | 110000011010… |
… | …010000000000 |
3 | 212212202000000 |
4 | 300122100000 |
5 | 11222043212 |
6 | 1132000000 |
7 | 212603226 |
oct | 60322000 |
9 | 25782000 |
10 | 12690432 |
11 | 7188567 |
12 | 4300000 |
13 | 2824341 |
14 | 1984b16 |
15 | 11aa1dc |
hex | c1a400 |
12690432 has 154 divisors (see below), whose sum is σ = 40272678. Its totient is φ = 3981312.
The previous prime is 12690427. The next prime is 12690437. The reversal of 12690432 is 23409621.
It is an interprime number because it is at equal distance from previous prime (12690427) and next prime (12690437).
It can be written as a sum of positive squares in only one way, i.e., 11943936 + 746496 = 3456^2 + 864^2 .
It is a super-2 number, since 2×126904322 = 322094128693248, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nialpdrome in base 12.
It is a junction number, because it is equal to n+sod(n) for n = 12690396 and 12690405.
It is not an unprimeable number, because it can be changed into a prime (12690437) by changing a digit.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 746488 + ... + 746504.
Almost surely, 212690432 is an apocalyptic number.
12690432 is a gapful number since it is divisible by the number (12) 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 12690432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20136339).
12690432 is an abundant number, since it is smaller than the sum of its proper divisors (27582246).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12690432 is an frugal number, since it uses more digits than its factorization.
12690432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 55 (or 22 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
The square root of 12690432 is about 3562.3632605337. The cubic root of 12690432 is about 233.2520496920.
The spelling of 12690432 in words is "twelve million, six hundred ninety thousand, four hundred thirty-two".
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