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36869040 = 24335132101
BaseRepresentation
bin1000110010100…
…1001110110000
32120101010211000
42030221032300
533414302130
63354122000
7625244625
oct214511660
976333730
1036869040
11198a228a
1210420300
13783b700
144c7a34c
153384260
hex23293b0

36869040 has 240 divisors, whose sum is σ = 138875040. Its totient is φ = 8985600.

The previous prime is 36869003. The next prime is 36869047. The reversal of 36869040 is 4096863.

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

It is a super-2 number, since 2×368690402 = 2718652221043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36868986 and 36869004.

It is not an unprimeable number, because it can be changed into a prime (36869047) 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, 364990 + ... + 365090.

It is an arithmetic number, because the mean of its divisors is an integer number (578646).

Almost surely, 236869040 is an apocalyptic number.

36869040 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 36869040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69437520).

36869040 is an abundant number, since it is smaller than the sum of its proper divisors (102006000).

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

36869040 is a wasteful number, since it uses less digits than its factorization.

36869040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 36869040 is about 6071.9881422809. The cubic root of 36869040 is about 332.8285782750.

The spelling of 36869040 in words is "thirty-six million, eight hundred sixty-nine thousand, forty".