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40112320 = 2651031217
BaseRepresentation
bin1001100100000…
…1000011000000
32210110220202111
42121001003000
540232043240
63551425104
7664643353
oct231010300
983426674
1040112320
1120707a86
1211525194
138405a01
14548229a
1537c51ea
hex26410c0

40112320 has 56 divisors (see below), whose sum is σ = 96524064. Its totient is φ = 15876096.

The previous prime is 40112279. The next prime is 40112339. The reversal of 40112320 is 2321104.

It is a self number, because there is not a number n which added to its sum of digits gives 40112320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32352 + ... + 33568.

It is an arithmetic number, because the mean of its divisors is an integer number (1723644).

Almost surely, 240112320 is an apocalyptic number.

40112320 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 40112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48262032).

40112320 is an abundant number, since it is smaller than the sum of its proper divisors (56411744).

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

40112320 is a wasteful number, since it uses less digits than its factorization.

40112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 40112320 is about 6333.4287712107. The cubic root of 40112320 is about 342.3149976785.

Adding to 40112320 its reverse (2321104), we get a palindrome (42433424).

It can be divided in two parts, 401 and 12320, that added together give a palindrome (12721).

The spelling of 40112320 in words is "forty million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 160 206 320 412 515 824 1030 1217 1648 2060 2434 3296 4120 4868 6085 6592 8240 9736 12170 16480 19472 24340 32960 38944 48680 77888 97360 125351 194720 250702 389440 501404 626755 1002808 1253510 2005616 2507020 4011232 5014040 8022464 10028080 20056160 40112320