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40730240 = 275232767
BaseRepresentation
bin1001101101011…
…1111010000000
32211122022101102
42123113322000
540411331430
64012553532
71003126025
oct233277200
984568342
1040730240
1120a9a261
12117828a8
138591045
1455a354c
153898345
hex26d7e80

40730240 has 64 divisors (see below), whose sum is σ = 101640960. Its totient is φ = 15578112.

The previous prime is 40730233. The next prime is 40730251. The reversal of 40730240 is 4203704.

It is a happy number.

40730240 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 13337 + ... + 16103.

It is an arithmetic number, because the mean of its divisors is an integer number (1588140).

Almost surely, 240730240 is an apocalyptic number.

40730240 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 40730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50820480).

40730240 is an abundant number, since it is smaller than the sum of its proper divisors (60910720).

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

40730240 is a wasteful number, since it uses less digits than its factorization.

40730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 40730240 is about 6382.0247570814. The cubic root of 40730240 is about 344.0638064444.

Adding to 40730240 its reverse (4203704), we get a palindrome (44933944).

The spelling of 40730240 in words is "forty million, seven hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2767 2944 3680 5534 7360 11068 13835 14720 22136 27670 44272 55340 63641 88544 110680 127282 177088 221360 254564 318205 354176 442720 509128 636410 885440 1018256 1272820 1770880 2036512 2545640 4073024 5091280 8146048 10182560 20365120 40730240