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20412000 = 2536537
BaseRepresentation
bin100110111011…
…1011001100000
31102102001000000
41031313121200
520211141000
62005300000
7335333130
oct115673140
942361000
1020412000
1110581924
126a04600
1342c8b0b
1429d4ac0
151bd3000
hex1377660

20412000 has 336 divisors, whose sum is σ = 85936032. Its totient is φ = 4665600.

The previous prime is 20411983. The next prime is 20412037. The reversal of 20412000 is 21402.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 55 ways as a sum of consecutive naturals, for example, 2915997 + ... + 2916003.

It is an arithmetic number, because the mean of its divisors is an integer number (255762).

Almost surely, 220412000 is an apocalyptic number.

20412000 is a gapful number since it is divisible by the number (20) 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 20412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42968016).

20412000 is an abundant number, since it is smaller than the sum of its proper divisors (65524032).

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

20412000 is an frugal number, since it uses more digits than its factorization.

20412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 20412000 is about 4517.9641432840. The cubic root of 20412000 is about 273.2930074688.

Adding to 20412000 its reverse (21402), we get a palindrome (20433402).

The spelling of 20412000 in words is "twenty million, four hundred twelve thousand".