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36230040 = 233257111307
BaseRepresentation
bin1000101000110…
…1001110011000
32112011200021100
42022031032120
533233330130
63332311400
7616643640
oct212151630
975150240
1036230040
11194a6190
1210172560
1376768c2
144b51520
1532a9c60
hex228d398

36230040 has 192 divisors, whose sum is σ = 146914560. Its totient is φ = 7522560.

The previous prime is 36230023. The next prime is 36230057. The reversal of 36230040 is 4003263.

36230040 is a `hidden beast` number, since 3 + 623 + 0 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (36230023) and next prime (36230057).

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

It is a junction number, because it is equal to n+sod(n) for n = 36229995 and 36230022.

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 47 ways as a sum of consecutive naturals, for example, 27067 + ... + 28373.

It is an arithmetic number, because the mean of its divisors is an integer number (765180).

Almost surely, 236230040 is an apocalyptic number.

36230040 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 36230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73457280).

36230040 is an abundant number, since it is smaller than the sum of its proper divisors (110684520).

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

36230040 is a wasteful number, since it uses less digits than its factorization.

36230040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 36230040 is about 6019.1394733799. The cubic root of 36230040 is about 330.8945426376.

The spelling of 36230040 in words is "thirty-six million, two hundred thirty thousand, forty".