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40116040 = 2354161401
BaseRepresentation
bin1001100100000…
…1111101001000
32210111002212021
42121001331020
540232203130
63551454224
7664660246
oct231017510
983432767
1040116040
112070a858
1211527374
138407603
145483796
1537c637a
hex2641f48

40116040 has 64 divisors (see below), whose sum is σ = 94212720. Its totient is φ = 15360000.

The previous prime is 40116031. The next prime is 40116053. The reversal of 40116040 is 4061104.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8328996 + 31787044 = 2886^2 + 5638^2 .

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 15 ways as a sum of consecutive naturals, for example, 99840 + ... + 100240.

Almost surely, 240116040 is an apocalyptic number.

40116040 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 40116040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47106360).

40116040 is an abundant number, since it is smaller than the sum of its proper divisors (54096680).

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

40116040 is a wasteful number, since it uses less digits than its factorization.

40116040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 40116040 is about 6333.7224441871. The cubic root of 40116040 is about 342.3255794019.

Adding to 40116040 its reverse (4061104), we get a palindrome (44177144).

The spelling of 40116040 in words is "forty million, one hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 61 82 122 164 205 244 305 328 401 410 488 610 802 820 1220 1604 1640 2005 2440 2501 3208 4010 5002 8020 10004 12505 16040 16441 20008 24461 25010 32882 48922 50020 65764 82205 97844 100040 122305 131528 164410 195688 244610 328820 489220 657640 978440 1002901 2005802 4011604 5014505 8023208 10029010 20058020 40116040