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421059600 = 243352132999
BaseRepresentation
bin11001000110001…
…101110000010000
31002100022001012000
4121012031300100
51330242401400
6105440434000
713301643003
oct3106156020
91070261160
10421059600
111a674a345
12b9018900
13693060c0
143dcc753a
1526e73600
hex1918dc10

421059600 has 240 divisors, whose sum is σ = 1614480000. Its totient is φ = 103610880.

The previous prime is 421059599. The next prime is 421059601. The reversal of 421059600 is 6950124.

421059600 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 59 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (421059599) and next prime (421059601).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421059601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 138901 + ... + 141899.

It is an arithmetic number, because the mean of its divisors is an integer number (6727000).

Almost surely, 2421059600 is an apocalyptic number.

421059600 is a gapful number since it is divisible by the number (40) 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 421059600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807240000).

421059600 is an abundant number, since it is smaller than the sum of its proper divisors (1193420400).

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

421059600 is a wasteful number, since it uses less digits than its factorization.

421059600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 421059600 is about 20519.7368404178. The cubic root of 421059600 is about 749.5164883556.

The spelling of 421059600 in words is "four hundred twenty-one million, fifty-nine thousand, six hundred".