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40316040 = 23325532113
BaseRepresentation
bin1001100111001…
…0110010001000
32210212021012200
42121302302020
540310103130
64000040200
7666452322
oct231626210
983767180
1040316040
1120837046
1211603060
13847765b
1454d6612
153815760
hex2672c88

40316040 has 96 divisors (see below), whose sum is σ = 133562520. Its totient is φ = 10543104.

The previous prime is 40316039. The next prime is 40316041. The reversal of 40316040 is 4061304.

It is an interprime number because it is at equal distance from previous prime (40316039) and next prime (40316041).

It can be written as a sum of positive squares in 4 ways, for example, as 22524516 + 17791524 = 4746^2 + 4218^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40316041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18024 + ... + 20136.

Almost surely, 240316040 is an apocalyptic number.

40316040 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 40316040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66781260).

40316040 is an abundant number, since it is smaller than the sum of its proper divisors (93246480).

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

40316040 is a wasteful number, since it uses less digits than its factorization.

40316040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40316040 is about 6349.4913182081. The cubic root of 40316040 is about 342.8935288765.

Adding to 40316040 its reverse (4061304), we get a palindrome (44377344).

The spelling of 40316040 in words is "forty million, three hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2113 2120 2385 3180 3816 4226 4770 6339 6360 8452 9540 10565 12678 16904 19017 19080 21130 25356 31695 38034 42260 50712 63390 76068 84520 95085 111989 126780 152136 190170 223978 253560 335967 380340 447956 559945 671934 760680 895912 1007901 1119890 1343868 1679835 2015802 2239780 2687736 3359670 4031604 4479560 5039505 6719340 8063208 10079010 13438680 20158020 40316040