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36435420 = 223757217
BaseRepresentation
bin1000101011111…
…1010111011100
32112120010000000
42022333113130
533311413140
63340534300
7621460500
oct212772734
975503000
1036435420
111962651a
1210251390
137719228
144ba6300
1532eaa30
hex22bf5dc

36435420 has 288 divisors, whose sum is σ = 141341760. Its totient is φ = 7838208.

The previous prime is 36435409. The next prime is 36435449. The reversal of 36435420 is 2453463.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2143252 + ... + 2143268.

It is an arithmetic number, because the mean of its divisors is an integer number (490770).

Almost surely, 236435420 is an apocalyptic number.

36435420 is a gapful number since it is divisible by the number (30) 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 36435420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70670880).

36435420 is an abundant number, since it is smaller than the sum of its proper divisors (104906340).

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

36435420 is a wasteful number, since it uses less digits than its factorization.

36435420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 36435420 is about 6036.1759417698. The cubic root of 36435420 is about 331.5186206039.

Adding to 36435420 its reverse (2453463), we get a palindrome (38888883).

The spelling of 36435420 in words is "thirty-six million, four hundred thirty-five thousand, four hundred twenty".