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20241900 = 2235527217
BaseRepresentation
bin100110100110…
…1110111101100
31102002101200000
41031031313230
520140220100
62001504300
7334024200
oct115156754
942071600
1020241900
1110476048
126942090
134269573
14298cb00
151b9c900
hex134ddec

20241900 has 324 divisors, whose sum is σ = 81041688. Its totient is φ = 4354560.

The previous prime is 20241899. The next prime is 20241929. The reversal of 20241900 is 914202.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×202419002 = 819469031220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1190692 + ... + 1190708.

Almost surely, 220241900 is an apocalyptic number.

20241900 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 20241900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40520844).

20241900 is an abundant number, since it is smaller than the sum of its proper divisors (60799788).

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

20241900 is a wasteful number, since it uses less digits than its factorization.

20241900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20241900 is about 4499.0999099820. The cubic root of 20241900 is about 272.5317416662.

The spelling of 20241900 in words is "twenty million, two hundred forty-one thousand, nine hundred".