Search a number
-
+
40041320 = 2351128273
BaseRepresentation
bin1001100010111…
…1101101101000
32210100022100212
42120233231220
540222310240
63550120252
7664226354
oct230575550
983308325
1040041320
1120669700
12114b0088
1383ac5b7
145464464
1537ae165
hex262fb68

40041320 has 48 divisors (see below), whose sum is σ = 99039780. Its totient is φ = 14558720.

The previous prime is 40041319. The next prime is 40041359. The reversal of 40041320 is 2314004.

It can be written as a sum of positive squares in 2 ways, for example, as 39866596 + 174724 = 6314^2 + 418^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40041295 and 40041304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 704 + ... + 8976.

Almost surely, 240041320 is an apocalyptic number.

40041320 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 40041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49519890).

40041320 is an abundant number, since it is smaller than the sum of its proper divisors (58998460).

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

40041320 is a wasteful number, since it uses less digits than its factorization.

40041320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8306 (or 8291 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 40041320 is about 6327.8211099872. The cubic root of 40041320 is about 342.1129091533.

Adding to 40041320 its reverse (2314004), we get a palindrome (42355324).

The spelling of 40041320 in words is "forty million, forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 8273 16546 33092 41365 66184 82730 91003 165460 182006 330920 364012 455015 728024 910030 1001033 1820060 2002066 3640120 4004132 5005165 8008264 10010330 20020660 40041320