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40230240 = 253583813
BaseRepresentation
bin1001100101110…
…1110101100000
32210200220111220
42121131311200
540244331430
63554135040
7665644221
oct231356540
983626456
1040230240
1120788636
1211581480
13844759b
1454b3248
1537ea110
hex265dd60

40230240 has 48 divisors (see below), whose sum is σ = 126726768. Its totient is φ = 10727936.

The previous prime is 40230191. The next prime is 40230247. The reversal of 40230240 is 4203204.

It is a happy number.

40230240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40230247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41427 + ... + 42386.

It is an arithmetic number, because the mean of its divisors is an integer number (2640141).

Almost surely, 240230240 is an apocalyptic number.

40230240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40230240 is an abundant number, since it is smaller than the sum of its proper divisors (86496528).

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

40230240 is a wasteful number, since it uses less digits than its factorization.

40230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83831 (or 83823 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 40230240 is about 6342.7312728824. The cubic root of 40230240 is about 342.6501091352.

Adding to 40230240 its reverse (4203204), we get a palindrome (44433444).

It can be divided in two parts, 40230 and 240, that added together give a triangular number (40470 = T284).

The spelling of 40230240 in words is "forty million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 83813 167626 251439 335252 419065 502878 670504 838130 1005756 1257195 1341008 1676260 2011512 2514390 2682016 3352520 4023024 5028780 6705040 8046048 10057560 13410080 20115120 40230240