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12432420 = 223357111323
BaseRepresentation
bin101111011011…
…010000100100
3212101122002000
4233123100210
511140314140
61122245300
7210450060
oct57332044
925348060
1012432420
117021730
1241b6830
132763a80
141918aa0
151158a30
hexbdb424

12432420 has 384 divisors, whose sum is σ = 54190080. Its totient is φ = 2280960.

The previous prime is 12432391. The next prime is 12432449. The reversal of 12432420 is 2423421.

12432420 is a `hidden beast` number, since 1 + 243 + 2 + 420 = 666.

12432420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12432391) and next prime (12432449).

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

It is a junction number, because it is equal to n+sod(n) for n = 12432393 and 12432402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 540529 + ... + 540551.

It is an arithmetic number, because the mean of its divisors is an integer number (141120).

Almost surely, 212432420 is an apocalyptic number.

12432420 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 12432420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27095040).

12432420 is an abundant number, since it is smaller than the sum of its proper divisors (41757660).

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

12432420 is a wasteful number, since it uses less digits than its factorization.

12432420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12432420 is about 3525.9636980548. The cubic root of 12432420 is about 231.6604475900.

Adding to 12432420 its reverse (2423421), we get a palindrome (14855841).

It can be divided in two parts, 1243 and 2420, that added together give a palindrome (3663).

The spelling of 12432420 in words is "twelve million, four hundred thirty-two thousand, four hundred twenty".