Search a number
-
+
40212300 = 22352311431
BaseRepresentation
bin1001100101100…
…1011101001100
32210122222220110
42121121131030
540243243200
63553520020
7665541012
oct231313514
983588813
1040212300
1120776107
1211573010
13843c37b
1454aa8b2
1537e4b50
hex265974c

40212300 has 72 divisors (see below), whose sum is σ = 116992512. Its totient is φ = 10664000.

The previous prime is 40212281. The next prime is 40212313. The reversal of 40212300 is 321204.

40212300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 93085 + ... + 93515.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 240212300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496256).

40212300 is an abundant number, since it is smaller than the sum of its proper divisors (76780212).

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

40212300 is a wasteful number, since it uses less digits than its factorization.

40212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 40212300 is about 6341.3168979322. The cubic root of 40212300 is about 342.5991685415.

Adding to 40212300 its reverse (321204), we get a palindrome (40533504).

The spelling of 40212300 in words is "forty million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 311 431 622 862 933 1244 1293 1555 1724 1866 2155 2586 3110 3732 4310 4665 5172 6220 6465 7775 8620 9330 10775 12930 15550 18660 21550 23325 25860 31100 32325 43100 46650 64650 93300 129300 134041 268082 402123 536164 670205 804246 1340410 1608492 2010615 2680820 3351025 4021230 6702050 8042460 10053075 13404100 20106150 40212300