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20432412 = 2236721113
BaseRepresentation
bin100110111110…
…0011000011100
31102110002000000
41031330120130
520212314122
62005534300
7335446500
oct115743034
942402000
1020432412
11105961a0
126a14390
1343051b0
1429dc300
151bd90ac
hex137c61c

20432412 has 252 divisors, whose sum is σ = 73265976. Its totient is φ = 4898880.

The previous prime is 20432407. The next prime is 20432437. The reversal of 20432412 is 21423402.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1571718 + ... + 1571730.

It is an arithmetic number, because the mean of its divisors is an integer number (290738).

Almost surely, 220432412 is an apocalyptic number.

20432412 is a gapful number since it is divisible by the number (22) 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 20432412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36632988).

20432412 is an abundant number, since it is smaller than the sum of its proper divisors (52833564).

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

20432412 is a wasteful number, since it uses less digits than its factorization.

20432412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 36 counting only the distinct ones).

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

The square root of 20432412 is about 4520.2225608923. Note that the first 3 decimals coincide. The cubic root of 20432412 is about 273.3840747889.

Subtracting from 20432412 its product of nonzero digits (384), we obtain a triangular number (20432028 = T6392).

Adding to 20432412 its reverse (21423402), we get a palindrome (41855814).

The spelling of 20432412 in words is "twenty million, four hundred thirty-two thousand, four hundred twelve".