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20146400 = 255225183
BaseRepresentation
bin100110011011…
…0100011100000
31101220112122222
41030312203200
520124141100
61555450212
7333145601
oct114664340
941815588
1020146400
111041031a
1268b6968
134234c61
142965da8
151b7e485
hex13368e0

20146400 has 36 divisors (see below), whose sum is σ = 49184352. Its totient is φ = 8058240.

The previous prime is 20146393. The next prime is 20146417. The reversal of 20146400 is 464102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11792 + ... + 13391.

It is an arithmetic number, because the mean of its divisors is an integer number (1366232).

Almost surely, 220146400 is an apocalyptic number.

20146400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20146400 is an abundant number, since it is smaller than the sum of its proper divisors (29037952).

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

20146400 is a wasteful number, since it uses less digits than its factorization.

20146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25203 (or 25190 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 20146400 is about 4488.4741282534. The cubic root of 20146400 is about 272.1024700423.

The spelling of 20146400 in words is "twenty million, one hundred forty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 25183 50366 100732 125915 201464 251830 402928 503660 629575 805856 1007320 1259150 2014640 2518300 4029280 5036600 10073200 20146400