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40113400 = 23521671201
BaseRepresentation
bin1001100100000…
…1010011111000
32210110222020111
42121001103320
540232112100
63551434104
7664646455
oct231012370
983428214
1040113400
1120708878
1211525934
138406352
14548282c
1537c56ba
hex26414f8

40113400 has 48 divisors (see below), whose sum is σ = 93900240. Its totient is φ = 15936000.

The previous prime is 40113391. The next prime is 40113413. The reversal of 40113400 is 431104.

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 11 ways as a sum of consecutive naturals, for example, 32800 + ... + 34000.

It is an arithmetic number, because the mean of its divisors is an integer number (1956255).

Almost surely, 240113400 is an apocalyptic number.

40113400 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 40113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46950120).

40113400 is an abundant number, since it is smaller than the sum of its proper divisors (53786840).

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

40113400 is a wasteful number, since it uses less digits than its factorization.

40113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1375 counting only the distinct ones).

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

The square root of 40113400 is about 6333.5140325099. The cubic root of 40113400 is about 342.3180698591.

Adding to 40113400 its reverse (431104), we get a palindrome (40544504).

The spelling of 40113400 in words is "forty million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 167 200 334 668 835 1201 1336 1670 2402 3340 4175 4804 6005 6680 8350 9608 12010 16700 24020 30025 33400 48040 60050 120100 200567 240200 401134 802268 1002835 1604536 2005670 4011340 5014175 8022680 10028350 20056700 40113400